All Stories

  1. Global Finite-Energy Solutions of the Compressible Euler–Poisson Equations for General Pressure Laws with Large Initial Data of Spherical Symmetry

    Article • Communications in Mathematical Physics, March 2024, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  2. Global solutions of the compressible Euler‐Poisson equations with large initial data of spherical symmetry

    Article • Communications on Pure and Applied Mathematics, November 2023, Wiley

    Professor Gui-Qiang G. Chen

  3. $ L^1 $–stability of vortex sheets and entropy waves in steady supersonic Euler flows over Lipschitz walls

    Article • Discrete and Continuous Dynamical Systems, January 2023, American Institute of Mathematical Sciences (AIMS)

    Professor Gui-Qiang G. Chen

  4. Two-Dimensional Riemann Problems: Transonic Shock Waves and Free Boundary Problems

    Article • Communications on Applied Mathematics and Computation, December 2022, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  5. Preface

    Article • Acta Mathematica Scientia, October 2022, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  6. Global Entropy Solutions and Newtonian Limit for the Relativistic Euler Equations

    Article • Annals of PDE, May 2022, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  7. On asymptotic rigidity and continuity problems in nonlinear elasticity on manifolds and hypersurfaces

    Article • Journal de Mathématiques Pures et Appliquées, April 2022, Elsevier

    Professor Gui-Qiang G. Chen

  8. Multidimensional transonic shock waves and free boundary problems

    Article • Bulletin of Mathematical Sciences, March 2022, World Scientific Pub Co Pte Lt

    Professor Gui-Qiang G. Chen

  9. Vanishing viscosity limit of the three-dimensional barotropic compressible Navier–Stokes equations with degenerate viscosities and far-field vacuum

    Article • Annales de l Institut Henri Poincaré C Analyse Non Linéaire, February 2022, European Mathematical Publishing House

    Professor Gui-Qiang G. Chen

  10. Global Solutions of the Compressible Euler Equations with Large Initial Data of Spherical Symmetry and Positive Far-Field Density

    Article • Archive for Rational Mechanics and Analysis, January 2022, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  11. Nonlinear anisotropic degenerate parabolic-hyperbolic equations with stochastic forcing

    Article • Journal of Functional Analysis, December 2021, Elsevier

    Professor Gui-Qiang G. Chen

  12. Divergence-Measure Fields: Gauss-Green Formulas and Normal Traces

    Article • Notices of the American Mathematical Society, September 2021, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  13. Stability of Attached Transonic Shocks in Steady Potential Flow past Three-Dimensional Wedges

    Article • Communications in Mathematical Physics, August 2021, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  14. Weak Continuity of the Cartan Structural System and Compensated Compactness on Semi-Riemannian Manifolds with Lower Regularity

    Article • Archive for Rational Mechanics and Analysis, May 2021, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  15. Stability of Conical Shocks in the Three-Dimensional Steady Supersonic Isothermal Flows Past Lipschitz Perturbed Cones

    Article • SIAM Journal on Mathematical Analysis, January 2021, Society for Industrial & Applied Mathematics (SIAM)

    Professor Gui-Qiang G. Chen

  16. Formation of Singularities and Existence of Global Continuous Solutions for the Compressible Euler Equations

    Article • SIAM Journal on Mathematical Analysis, January 2021, Society for Industrial & Applied Mathematics (SIAM)

    Professor Gui-Qiang G. Chen

  17. Global solutions of a two-dimensional Riemann problem for the pressure gradient system

    Article • Communications on Pure & Applied Analysis, January 2021, American Institute of Mathematical Sciences (AIMS)

    Professor Gui-Qiang G. Chen

  18. Preface: Special issue in honor of Professor Shuxing Chen on the occasion of his 80th birthday

    Article • Communications on Pure & Applied Analysis, January 2021, American Institute of Mathematical Sciences (AIMS)

    Professor Gui-Qiang G. Chen

  19. Maximum entropy production as a necessary admissibility condition for the fluid Navier–Stokes and Euler equations

    Article • SN Applied Sciences, December 2020, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  20. Convexity of Self-Similar Transonic Shocks and Free Boundaries for the Euler Equations for Potential Flow

    Article • Archive for Rational Mechanics and Analysis, June 2020, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  21. Stability of Multidimensional Thermoelastic Contact Discontinuities

    Article • Archive for Rational Mechanics and Analysis, May 2020, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  22. Loss of Regularity of Solutions of the Lighthill Problem for Shock Diffraction for Potential Flow

    Article • SIAM Journal on Mathematical Analysis, January 2020, Society for Industrial & Applied Mathematics (SIAM)

    Professor Gui-Qiang G. Chen

  23. Traces and extensions of bounded divergence-measure fields on rough open sets

    Article • Indiana University Mathematics Journal, January 2020, Indiana University Mathematics Journal

    Professor Gui-Qiang G. Chen

  24. Kolmogorov-type theory of compressible turbulence and inviscid limit of the Navier–Stokes equations in

    Article • Physica D Nonlinear Phenomena, December 2019, Elsevier

    Professor Gui-Qiang G. Chen

  25. Invariant Measures for Nonlinear Conservation Laws Driven by Stochastic Forcing

    Article • Chinese Annals of Mathematics Series B, November 2019, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  26. Steady Euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles

    Article • Advances in Mathematics, April 2019, Elsevier

    Professor Gui-Qiang G. Chen

  27. Cauchy Fluxes and Gauss–Green Formulas for Divergence-Measure Fields Over General Open Sets

    Article • Archive for Rational Mechanics and Analysis, January 2019, Springer Science + Business Media

    Giovanni Eugenio Comi, Professor Gui-Qiang G. Chen

  28. Nonlinear Stability of Relativistic Vortex Sheets in Three-Dimensional Minkowski Spacetime

    Article • Archive for Rational Mechanics and Analysis, October 2018, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  29. Stability of steady multi-wave configurations for the full Euler equations of compressible fluid flow

    Article • Acta Mathematica Scientia, September 2018, Elsevier

    Professor Gui-Qiang G. Chen

  30. Preface

    Article • Acta Mathematica Scientia, September 2018, Elsevier

    Professor Gui-Qiang G. Chen

  31. The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures

    Article • August 2018, De Gruyter

    Professor Gui-Qiang G. Chen

  32. Fluids, geometry, and the onset of Navier–Stokes turbulence in three space dimensions

    Article • Physica D Nonlinear Phenomena, August 2018, Elsevier

    Professor Gui-Qiang G. Chen

  33. Compensated compactness in Banach spaces and weak rigidity of isometric immersions of manifolds

    Article • May 2018, European Mathematical Publishing House

    Professor Gui-Qiang G. Chen

  34. Vanishing Viscosity Approach to the Compressible Euler Equations for Transonic Nozzle and Spherically Symmetric Flows

    Article • Archive for Rational Mechanics and Analysis, April 2018, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  35. Stability and asymptotic behavior of transonic flows past wedges for the full Euler equations

    Article • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications, January 2018, European Mathematical Publishing House

    Professor Gui-Qiang G. Chen

  36. Global Weak Solutions for the Compressible Active Liquid Crystal System

    Article • SIAM Journal on Mathematical Analysis, January 2018, Society for Industrial & Applied Mathematics (SIAM)

    Professor Gui-Qiang G. Chen

  37. Isometric embedding via strongly symmetric positive systems

    Article • Asian Journal of Mathematics, January 2018, International Press of Boston

    Professor Gui-Qiang G. Chen

  38. Global Weak Rigidity of the Gauss–Codazzi–Ricci Equations and Isometric Immersions of Riemannian Manifolds with Lower Regularity

    Article • Journal of Geometric Analysis, August 2017, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  39. Fluids, Elasticity, Geometry, and the Existence of Wrinkled Solutions

    Article • Archive for Rational Mechanics and Analysis, August 2017, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  40. Global existence and regularity of solutions for active liquid crystals

    Article • Journal of Differential Equations, July 2017, Elsevier

    Professor Gui-Qiang G. Chen

  41. Stability of transonic shocks in steady supersonic flow past multidimensional wedges

    Article • Advances in Mathematics, July 2017, Elsevier

    Professor Gui-Qiang G. Chen

  42. Supersonic flow onto solid wedges, multidimensional shock waves and free boundary problems

    Article • Science China Mathematics, May 2017, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  43. Two-Dimensional Steady Supersonic Exothermically Reacting Euler Flow past Lipschitz Bending Walls

    Article • SIAM Journal on Mathematical Analysis, January 2017, Society for Industrial & Applied Mathematics (SIAM)

    Professor Gui-Qiang G. Chen

  44. Incompressible limit of solutions of multidimensional steady compressible Euler equations

    Article • Zeitschrift für angewandte Mathematik und Physik, May 2016, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  45. Transonic flows with shocks past curved wedges for the full euler equations

    Article • Discrete and Continuous Dynamical Systems, March 2016, American Institute of Mathematical Sciences (AIMS)

    Professor Gui-Qiang G. Chen

  46. Free boundary problems: the forefront of current and future developments

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, September 2015, Royal Society Publishing

    Professor Gui-Qiang G. Chen

  47. Free boundary problems in shock reflection/diffraction and related transonic flow problems

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, August 2015, Royal Society Publishing

    Professor Gui-Qiang G. Chen

  48. Weak continuity and compactness for nonlinear partial differential equations

    Article • Chinese Annals of Mathematics Series B, August 2015, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  49. Subsonic-Sonic Limit of Approximate Solutions to Multidimensional Steady Euler Equations

    Article • Archive for Rational Mechanics and Analysis, August 2015, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  50. Preface

    Article • Acta Mathematica Scientia, July 2015, Elsevier

    Professor Gui-Qiang G. Chen

  51. Vanishing Viscosity Solutions of the Compressible Euler Equations with Spherical Symmetry and Large Initial Data

    Article • Communications in Mathematical Physics, May 2015, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  52. Gas Dynamics Equations: Computation

    Article • January 2015, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  53. Differential Geometry and Continuum Mechanics

    Article • January 2015, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  54. Hyperbolic Conservation Laws and Related Analysis with Applications

    Article • January 2014, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  55. Existence of Entropy Solutions to Two-Dimensional Steady Exothermically Reacting Euler Equations

    Article • Acta Mathematica Scientia, January 2014, Elsevier

    Professor Gui-Qiang G. Chen

  56. Entropy and convexity for nonlinear partial differential equations

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, November 2013, Royal Society Publishing

    Professor Gui-Qiang G. Chen

  57. Weakly Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws

    Article • Communications in Partial Differential Equations, November 2013, Taylor & Francis

    Professor Gui-Qiang G. Chen

  58. Shock Diffraction by Convex Cornered Wedges for the Nonlinear Wave System

    Article • Archive for Rational Mechanics and Analysis, October 2013, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  59. Entropy, Elasticity, and the Isometric Embedding Problem: $${\mathbb{M}}^{3} \rightarrow {\mathbb{R}}^{6}$$

    Article • August 2013, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  60. Existence and Stability of Global Solutions of Shock Diffraction by Wedges for Potential Flow

    Article • August 2013, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  61. Prandtl-Meyer reflection for supersonic flow past a solid ramp

    Article • Quarterly of Applied Mathematics, May 2013, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  62. Local uniqueness of steady spherical transonic shock-fronts for the three--dimensional full Euler equations

    Article • Communications on Pure & Applied Analysis, May 2013, American Institute of Mathematical Sciences (AIMS)

    Professor Gui-Qiang G. Chen

  63. Well-posedness of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows

    Article • Zeitschrift für angewandte Mathematik und Physik, February 2013, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  64. Stability of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows

    Article • Journal of Mathematical Physics, February 2013, American Institute of Physics

    Professor Gui-Qiang G. Chen

  65. Mixed Type Problems for Transonic Flow in Gas Dynamics and Isometric Embedding in Geometry

    Article • December 2012, World Scientific Pub Co Pte Lt

    Professor Gui-Qiang G. Chen

  66. Shallow water equations: viscous solutions and inviscid limit

    Article • Zeitschrift für angewandte Mathematik und Physik, April 2012, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  67. On Nonlinear Stochastic Balance Laws

    Article • Archive for Rational Mechanics and Analysis, February 2012, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  68. Comparison principles for self-similar potential flow

    Article • Proceedings of the American Mathematical Society, February 2012, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  69. Kolmogorov’s Theory of Turbulence and Inviscid Limit of the Navier-Stokes Equations in $${\mathbb {R}^3}$$

    Article • Communications in Mathematical Physics, January 2012, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  70. Characteristic Discontinuities and Free Boundary Problems for Hyperbolic Conservation Laws

    Article • January 2012, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  71. Global Steady Subsonic Flows through Infinitely Long Nozzles for the Full Euler Equations

    Article • SIAM Journal on Mathematical Analysis, January 2012, Society for Industrial & Applied Mathematics (SIAM)

    Professor Gui-Qiang G. Chen

  72. Remarks on the Contributions of Constantine M. Dafermos to the Subject of Conservation Laws

    Article • Acta Mathematica Scientia, January 2012, Elsevier

    Professor Gui-Qiang G. Chen

  73. Preface

    Article • Acta Mathematica Scientia, November 2011, Elsevier

    Professor Gui-Qiang G. Chen

  74. On the structure of solutions of nonlinear hyperbolic systems of conservation laws

    Article • Communications on Pure & Applied Analysis, April 2011, American Institute of Mathematical Sciences (AIMS)

    Professor Gui-Qiang G. Chen

  75. Nonlinear Conservation Laws and Applications

    Article • January 2011, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  76. Shock reflection-diffraction and nonlinear partial differential equations of mixed type

    Article • January 2011, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  77. Multidimensional Conservation Laws: Overview, Problems, and Perspective

    Article • January 2011, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  78. Transonic Flows and Isometric Embeddings

    Article • January 2011, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  79. Vanishing viscosity limit of the Navier‐Stokes equations to the euler equations for compressible fluid flow

    Article • Communications on Pure and Applied Mathematics, August 2010, Wiley

    Professor Gui-Qiang G. Chen

  80. Global solutions of shock reflection by large-angle wedges for potential flow

    Article • Annals of Mathematics, March 2010, Annals of Mathematics, Princeton U

    Professor Gui-Qiang G. Chen

  81. Preface

    Article • Acta Mathematica Scientia, March 2010, Elsevier

    Professor Gui-Qiang G. Chen

  82. A hyperbolic system of conservation laws for fluid flows through compliant axisymmetric vessels

    Article • Acta Mathematica Scientia, March 2010, Elsevier

    Professor Gui-Qiang G. Chen

  83. On degenerate partial differential equations

    Article • January 2010, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  84. A study of the Navier-Stokes equations with the kinematic and Navier boundary conditions

    Article • Indiana University Mathematics Journal, January 2010, Indiana University Mathematics Journal

    Professor Gui-Qiang G. Chen

  85. Weak continuity of the Gauss-Codazzi-Ricci system for isometric embedding

    Article • Proceedings of the American Mathematical Society, December 2009, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  86. Isometric Immersions and Compensated Compactness

    Article • Communications in Mathematical Physics, November 2009, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  87. A fluid dynamic formulation of the isometric embedding problem in differential geometry

    Article • Quarterly of Applied Mathematics, October 2009, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  88. Large-time behavior of periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations

    Article • Proceedings of the American Mathematical Society, September 2009, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  89. The Navier-Stokes equations with the kinematic and vorticity boundary conditions on non-flat boundaries

    Article • Acta Mathematica Scientia, July 2009, Elsevier

    Professor Gui-Qiang G. Chen

  90. Uniqueness of transonic shock solutions in a duct for steady potential flow

    Article • Journal of Differential Equations, July 2009, Elsevier

    Professor Gui-Qiang G. Chen

  91. FRONT MATTER

    Article • June 2009, World Scientific Pub Co Pte Lt

    Professor Gui-Qiang G. Chen

  92. Nonlinear Conservation Laws, Fluid Systems and Related Topics

    Article • June 2009, World Scientific Pub Co Pte Lt

    Professor Gui-Qiang G. Chen

  93. Foreword

    Article • Discrete and Continuous Dynamical Systems, January 2009, American Institute of Mathematical Sciences (AIMS)

    Professor Gui-Qiang G. Chen

  94. Shock reflection-diffraction phenomena and multidimensional conservation laws

    Article • January 2009, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  95. Conservation laws: transonic flow and differential geometry

    Article • January 2009, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  96. Evolution of Discontinuity and Formation of Triple-Shock Pattern in Solutions to a Two-Dimensional Hyperbolic System of Conservation Laws

    Article • SIAM Journal on Mathematical Analysis, January 2009, Society for Industrial & Applied Mathematics (SIAM)

    Professor Gui-Qiang G. Chen

  97. Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems

    Article • Journal of Differential Equations, December 2008, Elsevier

    Professor Gui-Qiang G. Chen

  98. Regularity of solutions to regular shock reflection for potential flow

    Article • Inventiones mathematicae, November 2008, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  99. Stability of transonic shock-fronts in three-dimensional conical steady potential flow past a perturbed cone

    Article • Discrete and Continuous Dynamical Systems, September 2008, American Institute of Mathematical Sciences (AIMS)

    Professor Gui-Qiang G. Chen

  100. Gauss‐Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws

    Article • Communications on Pure and Applied Mathematics, August 2008, Wiley

    Professor Gui-Qiang G. Chen

  101. Dedication on the occasion of Professor Xiaqi Ding’s 80th birthday

    Article • Acta Mathematicae Applicatae Sinica English Series, July 2008, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  102. Well-posedness for two-dimensional steady supersonic Euler flows past a Lipschitz wedge

    Article • Journal of Differential Equations, March 2008, Elsevier

    Professor Gui-Qiang G. Chen

  103. Vanishing Viscosity Method for Transonic Flow

    Article • Archive for Rational Mechanics and Analysis, February 2008, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  104. Continuous Dependence of Entropy Solutions to the Euler Equations on the Adiabatic Exponent and Mach Number

    Article • Archive for Rational Mechanics and Analysis, January 2008, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  105. Solutions for a nonlocal conservation law with fading memory

    Article • Proceedings of the American Mathematical Society, December 2007, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  106. Existence and Stability of Compressible Current-Vortex Sheets in Three-Dimensional Magnetohydrodynamics

    Article • Archive for Rational Mechanics and Analysis, October 2007, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  107. Transonic shocks and free boundary problems for the full Euler equations in infinite nozzles

    Article • Journal de Mathématiques Pures et Appliquées, August 2007, Elsevier

    Professor Gui-Qiang G. Chen

  108. STABILITY OF RAREFACTION WAVES AND VACUUM STATES FOR THE MULTIDIMENSIONAL EULER EQUATIONS

    Article • Journal of Hyperbolic Differential Equations, March 2007, World Scientific Pub Co Pte Lt

    Professor Gui-Qiang G. Chen

  109. On Two-Dimensional Sonic-Subsonic Flow

    Article • Communications in Mathematical Physics, March 2007, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  110. Stochastic Analysis and Partial Differential Equations

    Article • January 2007, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  111. Measure-Theoretic Analysis and Nonlinear Conservation Laws

    Article • Pure and Applied Mathematics Quarterly, January 2007, International Press of Boston

    Professor Gui-Qiang G. Chen

  112. Stability of Nonlinear Feedback Systems: A New Small-Gain Theorem

    Article • SIAM Journal on Control and Optimization, January 2007, Society for Industrial & Applied Mathematics (SIAM)

    Professor Gui-Qiang G. Chen

  113. Stability of Compressible Vortex Sheets in Steady Supersonic Euler Flows over Lipschitz Walls

    Article • SIAM Journal on Mathematical Analysis, January 2007, Society for Industrial & Applied Mathematics (SIAM)

    Professor Gui-Qiang G. Chen

  114. Dependence of entropy solutions in the large for the Euler equations on nonlinear flux functions

    Article • Indiana University Mathematics Journal, January 2007, Indiana University Mathematics Journal

    Professor Gui-Qiang G. Chen

  115. Entropy solutions to conservation laws with discontinuous fluxes via microscopic interacting particle systems

    Article • January 2007, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  116. Existence and Stability of Multidimensional Transonic Flows through an Infinite Nozzle of Arbitrary Cross-Sections

    Article • Archive for Rational Mechanics and Analysis, October 2006, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  117. Transonic nozzle flows and free boundary problems for the full Euler equations

    Article • Journal of Differential Equations, October 2006, Elsevier

    Professor Gui-Qiang G. Chen

  118. Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws

    Article • Journal of Differential Equations, March 2006, Elsevier

    Professor Gui-Qiang G. Chen

  119. Existence and Stability of Supersonic Euler Flows Past Lipschitz Wedges

    Article • Archive for Rational Mechanics and Analysis, February 2006, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  120. Potential theory for shock reflection by a large-angle wedge

    Article • Proceedings of the National Academy of Sciences, October 2005, Proceedings of the National Academy of Sciences

    Professor Gui-Qiang G. Chen

  121. Dedication

    Article • Advances in Colloid and Interface Science, June 2005, Elsevier

    Dr Klaus Werner Stöckelhuber, Professor Gui-Qiang G. Chen

  122. Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients

    Article • Communications on Pure & Applied Analysis, March 2005, American Institute of Mathematical Sciences (AIMS)

    Professor Gui-Qiang G. Chen

  123. Nonlinear Partial Differential Equations and Related Analysis

    Article • January 2005, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  124. Euler Equations and Related Hyperbolic Conservation Laws

    Article • January 2005, Elsevier

    Professor Gui-Qiang G. Chen

  125. Analysis on models for exothermically reacting, compressible flows with large discontinous initial data

    Article • January 2005, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  126. A multidimensional piston problem for the Euler equations for compressible flow

    Article • Discrete and Continuous Dynamical Systems, January 2005, American Institute of Mathematical Sciences (AIMS)

    Professor Gui-Qiang G. Chen

  127. $L^1$--framework for continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations

    Article • Transactions of the American Mathematical Society, December 2004, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  128. Divergence-Measure Fields, Sets of Finite Perimeter, and Conservation Laws

    Article • Archive for Rational Mechanics and Analysis, December 2004, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  129. Relativistic Euler equations for isentropic fluids: Stability of Riemann solutions with large oscillation

    Article • Zeitschrift für angewandte Mathematik und Physik, November 2004, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  130. CENTERED DIFFERENCE SCHEMES FOR NONLINEAR HYPERBOLIC EQUATIONS

    Article • Journal of Hyperbolic Differential Equations, September 2004, World Scientific Pub Co Pte Lt

    Professor Gui-Qiang G. Chen

  131. Stability of Riemann solutions with large oscillation for the relativistic Euler equations

    Article • Journal of Differential Equations, August 2004, Elsevier

    Professor Gui-Qiang G. Chen

  132. Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids

    Article • Physica D Nonlinear Phenomena, February 2004, Elsevier

    Professor Gui-Qiang G. Chen

  133. Conditional gain is necessary and sufficient for the robust stabilization of nonlinear systems

    Article • January 2004, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Gui-Qiang G. Chen

  134. Entropy Solutions in L ? for the Euler Equations in Nonlinear Elastodynamics and Related Equations

    Article • Archive for Rational Mechanics and Analysis, December 2003, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  135. A viscous approximation for a multidimensional unsteady Euler flow: Existence theorem for potential flow

    Article • Discrete and Continuous Dynamical Systems, September 2003, American Institute of Mathematical Sciences (AIMS)

    Professor Gui-Qiang G. Chen

  136. Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations

    Article • Annales de l Institut Henri Poincaré C Analyse Non Linéaire, August 2003, European Mathematical Publishing House

    Professor Gui-Qiang G. Chen

  137. Global entropy solutions to exothermically reacting, compressible Euler equations

    Article • Journal of Differential Equations, July 2003, Elsevier

    Professor Gui-Qiang G. Chen

  138. Existence and continuous dependence of large solutions for the magnetohydrodynamic equations

    Article • Zeitschrift für angewandte Mathematik und Physik, July 2003, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  139. Steady transonic shocks and free boundary problems in infinite cylinders for the Euler equations

    Article • Communications on Pure and Applied Mathematics, June 2003, Wiley

    Professor Gui-Qiang G. Chen

  140. Extended Divergence-Measure Fields and the Euler Equations for Gas Dynamics

    Article • Communications in Mathematical Physics, May 2003, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  141. Some recent methods for partial differential equations of divergence form

    Article • Bulletin of the Brazilian Mathematical Society New Series, April 2003, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  142. Global Solutions to a Model for Exothermically Reacting, Compressible Flows with Large Discontinuous Initial Data

    Article • Archive for Rational Mechanics and Analysis, March 2003, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  143. Multidimensional transonic shocks and free boundary problems for nonlinear equations of mixed type

    Article • Journal of the American Mathematical Society, January 2003, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  144. Concentration in solutions to hyperbolic conservation laws

    Article • January 2003, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  145. Analysis on a Model for the Dynamic Combustion of a Compressible, Reacting Fluid

    Article • January 2003, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  146. Discontinuous Solutions of Hamilton-Jacobi Equations: Existence, Uniqueness, and Regularity

    Article • January 2003, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  147. Existence Theory for the Isentropic Euler Equations

    Article • Archive for Rational Mechanics and Analysis, January 2003, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  148. Global Entropy Solutions in Linfinity to the Euler Equations and Euler-Poisson Equations for Isothermal Fluids with Spherical Symmetry

    Article • Methods and Applications of Analysis, January 2003, International Press of Boston

    Professor Gui-Qiang G. Chen

  149. Existence and Stability of Multidimensional Transonic Shocks for the Euler Equations for Steady Potential Fluids in Unbounded Domains

    Article • January 2003, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  150. Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids

    Article • SIAM Journal on Mathematical Analysis, January 2003, Society for Industrial & Applied Mathematics (SIAM)

    Professor Gui-Qiang G. Chen

  151. Discontinuous solutions for Hamilton-Jacobi equations: Uniqueness and regularity

    Article • Discrete and Continuous Dynamical Systems, November 2002, American Institute of Mathematical Sciences (AIMS)

    Professor Gui-Qiang G. Chen

  152. Global Solutions of Nonlinear Magnetohydrodynamics with Large Initial Data

    Article • Journal of Differential Equations, July 2002, Elsevier

    Professor Gui-Qiang G. Chen

  153. Uniqueness and Stability of Riemann Solutions¶with Large Oscillation in Gas Dynamics

    Article • Communications in Mathematical Physics, June 2002, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  154. On the Navier-Stokes Equations for Exothermically Reacting Compressible Fluids

    Article • Acta Mathematicae Applicatae Sinica English Series, March 2002, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  155. Multisymplectic Structure and Multisymplectic Scheme for the Nonlinear Wave Equation

    Article • Acta Mathematicae Applicatae Sinica English Series, March 2002, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  156. GLOBAL SOLUTIONS TO THE NAVIER-STOKES EQUATIONS FOR COMPRESSIBLE HEAT-CONDUCTING FLOW WITH SYMMETRY AND FREE BOUNDARY

    Article • Communications in Partial Differential Equations, January 2002, Taylor & Francis

    Professor Gui-Qiang G. Chen

  157. On global discontinuous solutions of Hamilton–Jacobi equations

    Article • Comptes Rendus Mathématique, January 2002, Cellule MathDoc/CEDRAM

    Professor Gui-Qiang G. Chen

  158. The Cauchy Problem for the Euler Equations for Compressible Fluids

    Article • January 2002, Elsevier

    Professor Gui-Qiang G. Chen

  159. Hyperbolic Conservation Laws�with Umbilic Degeneracy

    Article • Archive for Rational Mechanics and Analysis, December 2001, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  160. On the theory of divergence-measure fields and its applications

    Article • October 2001

    Professor Gui-Qiang G. Chen

  161. On the zero-Rossby limit for the primitive equations of the atmosphere*

    Article • Nonlinearity, August 2001, Institute of Physics Publishing

    Professor Gui-Qiang G. Chen

  162. ENTROPIES AND FLUX-SPLITTINGS FOR THE ISENTROPIC EULER EQUATIONS

    Article • Chinese Annals of Mathematics Series B, April 2001, World Scientific Pub Co Pte Lt

    Professor Gui-Qiang G. Chen

  163. Stability of Entropy Solutions to the Cauchy Problem for a Class of Nonlinear Hyperbolic-Parabolic Equations

    Article • SIAM Journal on Mathematical Analysis, January 2001, Society for Industrial & Applied Mathematics (SIAM)

    Professor Gui-Qiang G. Chen

  164. Uniqueness and asymptotic stability of Riemann solutions for the compressible Euler equations

    Article • Transactions of the American Mathematical Society, September 2000, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  165. Initial Layers and Uniqueness of¶Weak Entropy Solutions to¶Hyperbolic Conservation Laws

    Article • Archive for Rational Mechanics and Analysis, June 2000, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  166. Compressible Euler Equations¶with General Pressure Law

    Article • Archive for Rational Mechanics and Analysis, June 2000, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  167. Compressible Euler-Maxwell equations

    Article • Transport Theory and Statistical Physics, April 2000, Taylor & Francis

    Professor Gui-Qiang G. Chen

  168. DISCONTINUOUS SOLUTIONS IN L∞FOR HAMILTON-JACOBI EQUATIONS

    Article • Chinese Annals of Mathematics Series B, April 2000, World Scientific Pub Co Pte Lt

    Professor Gui-Qiang G. Chen

  169. On the 2-D Riemann problem for the compressible Euler equations II. Interaction of contact discontinuities

    Article • Discrete and Continuous Dynamical Systems, January 2000, American Institute of Mathematical Sciences (AIMS)

    Professor Gui-Qiang G. Chen

  170. Global solutions of the compressible navier-stokes equations with larger discontinuous initial data

    Article • Communications in Partial Differential Equations, January 2000, Taylor & Francis

    Professor Gui-Qiang G. Chen

  171. Divergence-Measure Fields and Hyperbolic Conservation Laws

    Article • Archive for Rational Mechanics and Analysis, June 1999, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  172. Decay of Entropy Solutions of Nonlinear Conservation Laws

    Article • Archive for Rational Mechanics and Analysis, May 1999, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  173. Large-Time Behavior of Entropy Solutions of Conservation Laws

    Article • Journal of Differential Equations, March 1999, Elsevier

    Professor Gui-Qiang G. Chen

  174. Nonlinear Partial Differential Equations

    Article • January 1999, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  175. Compactness and Asymptotic Behavior of Entropy Solutions without Locally Bounded Variation for Hyperbolic Conservation Laws

    Article • January 1999, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  176. Vanishing viscosity limit for initial-boundary value problems for conservation laws

    Article • January 1999, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  177. Advances in Nonlinear Partial Differential Equations and Related Areas

    Article • December 1998, World Scientific Pub Co Pte Lt

    Professor Gui-Qiang G. Chen

  178. FRONT MATTER

    Article • December 1998, World Scientific Pub Co Pte Lt

    Professor Gui-Qiang G. Chen

  179. LARGE-TIME BEHAVIOR OF ENTROPY SOLUTIONS IN L∞ FOR MULTIDIMENSIONAL CONSERVATION LAWS

    Article • December 1998, World Scientific Pub Co Pte Lt

    Professor Gui-Qiang G. Chen

  180. Formation of Singularities in Compressible Euler–Poisson Fluids with Heat Diffusion and Damping Relaxation

    Article • Journal of Differential Equations, March 1998, Elsevier

    Professor Gui-Qiang G. Chen

  181. Advances in Nonlinear Partial Differential Equations and Related Areas

    Article • January 1998, World Scientific Pub Co Pte Lt

    Professor Gui-Qiang G. Chen

  182. Analysis and Simulation of Extended Hydrodynamic Models: The Multi-Valley Gunn Oscillator and MESFET Symmetries

    Article • VLSI Design, January 1998, Hindawi Publishing Corporation

    Professor Gui-Qiang G. Chen

  183. On the compressible Euler equations in thermoelasticity

    Article • Matemática Contemporânea, January 1998, Sociedade Brasileira de Matematica

    Professor Gui-Qiang G. Chen

  184. Shock capturing approximations to the compressible Euler equations with geometric structure and related equations

    Article • Zeitschrift für angewandte Mathematik und Physik, January 1998, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  185. Particle hydrodynamic moment models in biology and microelectronics: Singular relaxation limits

    Article • Nonlinear Analysis, December 1997, Elsevier

    Professor Gui-Qiang G. Chen

  186. Convergence of difference schemes with high resolution for conservation laws

    Article • Mathematics of Computation, July 1997, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  187. Entropies and weak solutions of the compressible isentropic Euler equations

    Article • Comptes Rendus de l Académie des Sciences - Series I - Mathematics, May 1997, Elsevier

    Professor Gui-Qiang G. Chen

  188. Remarks on spherically symmetric solutions of the compressible Euler equations

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, January 1997, Cambridge University Press

    Professor Gui-Qiang G. Chen

  189. Asymptotic stability of Riemann waves for conservation laws

    Article • Zeitschrift für angewandte Mathematik und Physik, January 1997, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  190. Remarks on DiPerna’s paper “Convergence of the viscosity method for isentropic gas dynamics”

    Article • Proceedings of the American Mathematical Society, January 1997, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  191. Global solutions to the compressible Euler equations with geometrical structure

    Article • Communications in Mathematical Physics, September 1996, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  192. Convergence of shock capturing schemes for the compressible Euler-Poisson equations

    Article • Communications in Mathematical Physics, August 1996, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  193. Existence and Asymptotic Behavior of Measure-Valued Solutions for Degenerate Conservation Laws

    Article • Journal of Differential Equations, May 1996, Elsevier

    Professor Gui-Qiang G. Chen

  194. Structure of Riemann Solutions for 2-Dimensional Scalar Conservation Laws

    Article • Journal of Differential Equations, May 1996, Elsevier

    Professor Gui-Qiang G. Chen

  195. Global solutions to the cylindrically symmetric rotating motion of isentropic gases

    Article • Zeitschrift für angewandte Mathematik und Physik, May 1996, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  196. Book reviews

    Article • Zeitschrift für angewandte Mathematik und Physik, March 1996, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  197. On the 2-D Riemann problem for the compressible Euler equations I. Interaction of shocks and rarefaction waves

    Article • Discrete and Continuous Dynamical Systems, August 1995, American Institute of Mathematical Sciences (AIMS)

    Professor Gui-Qiang G. Chen

  198. The vanishing viscosity method in one-dimensional thermoelasticity

    Article • Transactions of the American Mathematical Society, February 1995, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  199. The Vanishing Viscosity Method in One-Dimensional Thermoelasticity

    Article • Transactions of the American Mathematical Society, February 1995, JSTOR

    Professor Gui-Qiang G. Chen

  200. Entropy flux‐splittings for hyperbolic conservation laws part I: General framework

    Article • Communications on Pure and Applied Mathematics, January 1995, Wiley

    Professor Gui-Qiang G. Chen

  201. Hyperbolic conservation laws with umbilic degeneracy, I

    Article • Archive for Rational Mechanics and Analysis, January 1995, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  202. Some singular limit problems in conservation laws

    Article • Matemática Contemporânea, January 1995, Sociedade Brasileira de Matematica

    Professor Gui-Qiang G. Chen

  203. Hyperbolic conservation laws with stiff relaxation terms and entropy

    Article • Communications on Pure and Applied Mathematics, June 1994, Wiley

    Professor Gui-Qiang G. Chen

  204. Spectral Viscosity Approximations to Multidimensional Scalar Conservation Laws

    Article • Mathematics of Computation, October 1993, JSTOR

    Professor Gui-Qiang G. Chen

  205. Convergence of Second-Order Schemes for Isentropic Gas Dynamics

    Article • Mathematics of Computation, October 1993, JSTOR

    Professor Gui-Qiang G. Chen

  206. Zero relaxation and dissipation limits for hyperbolic conservation laws

    Article • Communications on Pure and Applied Mathematics, June 1993, Wiley

    Professor Gui-Qiang G. Chen

  207. Convergence of second-order schemes for isentropic gas dynamics

    Article • Mathematics of Computation, January 1993, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  208. Spectral viscosity approximations to multidimensional scalar conservation laws

    Article • Mathematics of Computation, January 1993, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  209. Large Time, Weak Solutions to Reacting Euler Equations

    Article • January 1993, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  210. Hyperbolic Conservation Laws with Umbilic Points I

    Article • August 1992, Defense Technical Information Center (DTIC)

    Professor Gui-Qiang G. Chen

  211. Global Solutions to the Compressible Navier–Stokes Equations for a Reacting Mixture

    Article • SIAM Journal on Mathematical Analysis, May 1992, Society for Industrial & Applied Mathematics (SIAM)

    Professor Gui-Qiang G. Chen

  212. The method of quasidecoupling for discontinuous solutions to conservation laws

    Article • Archive for Rational Mechanics and Analysis, January 1992, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  213. Limit Behavior of Approximate Solutions to Conservation Laws

    Article • January 1991, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  214. Propagation and cancellation of oscillations for hyperbolic systems of conservation laws

    Article • Communications on Pure and Applied Mathematics, January 1991, Wiley

    Professor Gui-Qiang G. Chen

  215. Hyperbolic systems of conservation laws with a symmetry

    Article • Communications in Partial Differential Equations, January 1991, Taylor & Francis

    Professor Gui-Qiang G. Chen

  216. Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics

    Article • Communications in Mathematical Physics, March 1989, Springer Science + Business Media

    Professor Gui-Qiang G. Chen

  217. The Riemann solution to a system of conservation laws, with application to a nonzero sum game

    Article • January 1989, American Mathematical Society (AMS)

    Professor Gui-Qiang G. Chen

  218. OVERTAKING OF SHOCKS OF THE SAME KIND IN THE ISENTROPIC STEADY SUPERSONIC PLANE FLOW

    Article • Acta Mathematica Scientia, September 1987, Elsevier

    Professor Gui-Qiang G. Chen

  219. DIFFRACTION OF PLANAR SHOCK ALONG COMPRESSIVE CORNER

    Article • Acta Mathematica Scientia, July 1986, Elsevier

    Professor Gui-Qiang G. Chen