All Stories

  1. Anisotropic Liouville type theorem for the MHD system in Rn

    Article • Journal of Mathematical Physics, December 2023, American Institute of Physics

    Dongho Chae

  2. Existence of discretely self-similar solutions to the Navier–Stokes equations for initial value in L ...

    Article • Annales de l Institut Henri Poincaré C Analyse Non Linéaire, October 2017, Elsevier

    Dongho Chae

  3. On the well-posedness of various one-dimensional model equations for fluid motion

    Article • Nonlinear Analysis, September 2017, Elsevier

    Dongho Chae

  4. Removing discretely self-similar singularities for the 3D Navier–Stokes equations

    Article • Communications in Partial Differential Equations, July 2017, Taylor & Francis

    Dongho Chae

  5. Regularity of the 3D Stationary Hall Magnetohydrodynamic Equations on the Plane

    Article • Communications in Mathematical Physics, May 2017, Springer Science + Business Media

    Dongho Chae

  6. On the Liouville Type Theorems for Self-Similar Solutions to the Navier–Stokes Equations

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

    Dongho Chae

  7. On the geometric regularity conditions for the 3D Navier–Stokes equations

    Article • Nonlinear Analysis, March 2017, Elsevier

    Dongho Chae

  8. On Liouville type theorems for the steady Navier–Stokes equations inR3

    Article • Journal of Differential Equations, November 2016, Elsevier

    Dongho Chae

  9. On the Liouville theorem for weak Beltrami flows

    Article • Nonlinearity, September 2016, Institute of Physics Publishing

    Dongho Chae

  10. Liouville type theorems for the steady axially symmetric Navier-Stokes and magnetohydrodynamic equations

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

    Dongho Chae

  11. Singularity formation for the incompressible Hall-MHD equations without resistivity

    Article • Annales de l Institut Henri Poincaré C Analyse Non Linéaire, July 2016, Elsevier

    Dongho Chae

  12. On the vanishing theorems for the discretely self-similar solutions to the Hall equations

    Article • January 2016, American Mathematical Society (AMS)

    Dongho Chae

  13. On Partial Regularity for the 3D Nonstationary Hall Magnetohydrodynamics Equations on the Plane

    Article • SIAM Journal on Mathematical Analysis, January 2016, Society for Industrial & Applied Mathematics (SIAM)

    Dongho Chae

  14. Unique continuation type theorem for the self-similar Euler equations

    Article • Advances in Mathematics, October 2015, Elsevier

    Dongho Chae

  15. Local Well-Posedness for the Hall-MHD Equations with Fractional Magnetic Diffusion

    Article • Journal of Mathematical Fluid Mechanics, September 2015, Springer Science + Business Media

    Dongho Chae

  16. Remarks on the asymptotically discretely self-similar solutions of the Navier–Stokes and the Euler equations

    Article • Nonlinear Analysis, September 2015, Elsevier

    Dongho Chae

  17. On Partial Regularity for the Steady Hall Magnetohydrodynamics System

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

    Dongho Chae

  18. The Global Regularity for the 3D Continuously Stratified Inviscid Quasi-Geostrophic Equations

    Article • Journal of Nonlinear Science, April 2015, Springer Science + Business Media

    Dongho Chae

  19. Global regularity for a model Navier–Stokes equations on ℝ3

    Article • Analysis, January 2015, De Gruyter

    Dongho Chae

  20. Remarks on a Liouville-Type Theorem for Beltrami Flows

    Article • International Mathematics Research Notices, December 2014, Oxford University Press (OUP)

    Dongho Chae

  21. Remark on Luo-Hou’s Ansatz for a Self-similar Solution to the 3D Euler Equations

    Article • Journal of Nonlinear Science, October 2014, Springer Science + Business Media

    Dongho Chae

  22. Euler’s equations and the maximum principle

    Article • Mathematische Annalen, July 2014, Springer Science + Business Media

    Dongho Chae

  23. On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics

    Article • Journal of Differential Equations, June 2014, Elsevier

    Dongho Chae

  24. Well-posedness for Hall-magnetohydrodynamics

    Article • Annales de l Institut Henri Poincaré C Analyse Non Linéaire, May 2014, Elsevier

    Dongho Chae

  25. Erratum to: An Incompressible 2D Didactic Model with Singularity and Explicit Solutions of the 2D Boussinesq Equations

    Article • Journal of Mathematical Fluid Mechanics, April 2014, Springer Science + Business Media

    Dongho Chae

  26. Localized energy equalities for the Navier–Stokes and the Euler equations

    Article • Advances in Mathematics, March 2014, Elsevier

    Dongho Chae

  27. An Incompressible 2D Didactic Model with Singularity and Explicit Solutions of the 2D Boussinesq Equations

    Article • Journal of Mathematical Fluid Mechanics, February 2014, Springer Science + Business Media

    Dongho Chae

  28. Liouville-Type Theorems for the Forced Euler Equations and the Navier–Stokes Equations

    Article • Communications in Mathematical Physics, January 2014, Springer Science + Business Media

    Dongho Chae

  29. On discretely self-similar solutions of the Euler equations

    Article • Mathematical Research Letters, January 2014, International Press of Boston

    Dongho Chae

  30. On the Transport Equations with Singular/Regular Nonlocal Velocities

    Article • SIAM Journal on Mathematical Analysis, January 2014, Society for Industrial & Applied Mathematics (SIAM)

    Dongho Chae

  31. On the temporal decay for the Hall-magnetohydrodynamic equations

    Article • Journal of Differential Equations, December 2013, Elsevier

    Dongho Chae

  32. On the Liouville theorem for the stationary Navier–Stokes equations in a critical space

    Article • Journal of Mathematical Analysis and Applications, September 2013, Elsevier

    Dongho Chae

  33. On Formation of a Locally Self-Similar Collapse in the Incompressible Euler Equations

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

    Dongho Chae

  34. On the blow-up problem for the Euler equations and the Liouville type results in the fluid equations

    Article • Discrete and Continuous Dynamical Systems - S, March 2013, American Institute of Mathematical Sciences (AIMS)

    Dongho Chae

  35. Logarithmically regularized inviscid models in borderline sobolev spaces

    Article • Journal of Mathematical Physics, August 2012, American Institute of Physics

    Dongho Chae

  36. Blow-up, Zero α Limit and the Liouville Type Theorem for the Euler-Poincaré Equations

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

    Dongho Chae

  37. The 2D Boussinesq equations with logarithmically supercritical velocities

    Article • Advances in Mathematics, July 2012, Elsevier

    Dongho Chae

  38. Remarks on the Liouville type results for the compressible Navier–Stokes equations in \Bbb R^N

    Article • Nonlinearity, April 2012, Institute of Physics Publishing

    Dongho Chae

  39. Conditions on the Pressure for Vanishing Velocity in the Incompressible Fluid Flows in ℝN

    Article • Communications in Partial Differential Equations, March 2012, Taylor & Francis

    Dongho Chae

  40. Deformation and Symmetry in the Inviscid SQG and the 3D Euler Equations

    Article • Journal of Nonlinear Science, March 2012, Springer Science + Business Media

    Dongho Chae

  41. Generalized surface quasi-geostrophic equations with singular velocities

    Article • Communications on Pure and Applied Mathematics, February 2012, Wiley

    Dongho Chae

  42. Dissipative Models Generalizing the 2D Navier-Stokes and the Surface Quasi-Geostrophic Equations

    Article • Indiana University Mathematics Journal, January 2012, Indiana University Mathematics Journal

    Dongho Chae

  43. Liouville type theorems for the Euler and the Navier–Stokes equations

    Article • Advances in Mathematics, December 2011, Elsevier

    Dongho Chae

  44. On the Self-Similar Solutions of the 3D Euler and the Related Equations

    Article • Communications in Mathematical Physics, May 2011, Springer Science + Business Media

    Dongho Chae

  45. Inviscid Models Generalizing the Two-dimensional Euler and the Surface Quasi-geostrophic Equations

    Article • Archive for Rational Mechanics and Analysis, March 2011, Springer Science + Business Media

    Dongho Chae

  46. On the Lagrangian dynamics of the axisymmetric 3D Euler equations

    Article • Journal of Differential Equations, August 2010, Elsevier

    Dongho Chae

  47. On the generalized self-similar singularities for the Euler and the Navier–Stokes equations

    Article • Journal of Functional Analysis, May 2010, Elsevier

    Dongho Chae

  48. On the Nonexistence of Global Weak Solutions to the Navier–Stokes–Poisson Equations in ℝN

    Article • Communications in Partial Differential Equations, February 2010, Taylor & Francis

    Dongho Chae

  49. On the Behaviors of Solutions Near Possible Blow-Up Time in the Incompressible Euler and Related Equations

    Article • Communications in Partial Differential Equations, September 2009, Taylor & Francis

    Dongho Chae

  50. Notes on the asymptotically self-similar singularities in the Euler and the Navier-Stokes equations

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

    Dongho Chae

  51. Notes on the incompressible Euler and related equations on ℝ N

    Article • Chinese Annals of Mathematics Series B, August 2009, Springer Science + Business Media

    Dongho Chae

  52. On the a priori estimates for the Euler, the Navier–Stokes and the quasi-geostrophic equations

    Article • Advances in Mathematics, August 2009, Elsevier

    Dongho Chae

  53. On the formation of shocks to the compressible Euler equations

    Article • Communications in Mathematical Sciences, January 2009, International Press of Boston

    Dongho Chae

  54. Nonexistence of Self-similar Singularities in the Ideal Magnetohydrodynamics

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

    Dongho Chae

  55. On the Regularity Conditions of Suitable Weak Solutions of the 3D Navier–Stokes Equations

    Article • Journal of Mathematical Fluid Mechanics, September 2008, Springer Science + Business Media

    Dongho Chae

  56. On the blow-up problem for the axisymmetric 3D Euler equations

    Article • Nonlinearity, August 2008, Institute of Physics Publishing

    Dongho Chae

  57. The geometric approaches to the possible singularities in the inviscid fluid flows

    Article • Journal of Physics A Mathematical and Theoretical, July 2008, Institute of Physics Publishing

    Dongho Chae

  58. Chapter 1 Incompressible Euler Equations: The Blow-up Problem and Related Results

    Article • January 2008, Elsevier

    Dongho Chae

  59. Nonexistence of self-similar singularities in the viscous magnetohydrodynamics with zero resistivity

    Article • Journal of Functional Analysis, January 2008, Elsevier

    Dongho Chae

  60. Existence of a semilinear elliptic system with exponential nonlinearities

    Article • Discrete and Continuous Dynamical Systems, May 2007, American Institute of Mathematical Sciences (AIMS)

    Dongho Chae

  61. Nonexistence of Self-Similar Singularities for the 3D Incompressible Euler Equations

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

    Dongho Chae

  62. On the deformations of the incompressible Euler equations

    Article • Mathematische Zeitschrift, March 2007, Springer Science + Business Media

    Dongho Chae

  63. Nonexistence of asymptotically self-similar singularities in the Euler and the Navier–Stokes equations

    Article • Mathematische Annalen, January 2007, Springer Science + Business Media

    Dongho Chae

  64. Notes on perturbations of the incompressible 3D Euler equations

    Article • Nonlinearity, January 2007, Institute of Physics Publishing

    Dongho Chae

  65. On the Regularity Conditions for the Navier-Stokes and Related Equations

    Article • Revista Matemática Iberoamericana, January 2007, European Mathematical Publishing House

    Dongho Chae

  66. On the finite-time singularities of the 3D incompressible Euler equations

    Article • Communications on Pure and Applied Mathematics, January 2007, Wiley

    Dongho Chae

  67. On the Lagrangian Dynamics for the 3D Incompressible Euler Equations

    Article • Communications in Mathematical Physics, October 2006, Springer Science + Business Media

    Dongho Chae

  68. On the continuation principles for the Euler equations and the quasi-geostrophic equation

    Article • Journal of Differential Equations, August 2006, Elsevier

    Dongho Chae

  69. Global regularity for the 2D Boussinesq equations with partial viscosity terms

    Article • Advances in Mathematics, July 2006, Elsevier

    Dongho Chae

  70. On the Conserved Quantities for the Weak Solutions of the Euler Equations and the Quasi-geostrophic Equations

    Article • Communications in Mathematical Physics, April 2006, Springer Science + Business Media

    Dongho Chae

  71. On the conditional regularity of the Navier-Stokes and related equations

    Article • January 2006, Institute of Mathematics, Polish Academy of Sciences

    Dongho Chae

  72. On the Regularity Conditions for the Dissipative Quasi-geostrophic Equations

    Article • SIAM Journal on Mathematical Analysis, January 2006, Society for Industrial & Applied Mathematics (SIAM)

    Dongho Chae

  73. On the Spectral Dynamics of the Deformation Tensor and New A Priori Estimates for the 3D Euler Equations

    Article • Communications in Mathematical Physics, November 2005, Springer Science + Business Media

    Dongho Chae

  74. Some existence results for solutions to SU(3) Toda system

    Article • Calculus of Variations and Partial Differential Equations, October 2005, Springer Science + Business Media

    Dongho Chae

  75. Existence of Multistring Solutions of the Self-Gravitating Massive W-Boson

    Article • Letters in Mathematical Physics, August 2005, Springer Science + Business Media

    Dongho Chae

  76. Selfgravitating electroweak strings

    Article • Journal of Differential Equations, June 2005, Elsevier

    Dongho Chae

  77. Finite time singularities in a 1D model of the quasi-geostrophic equation

    Article • Advances in Mathematics, June 2005, Elsevier

    Dongho Chae

  78. On the elliptic system arising from a self-gravitating Born–Infeld Abelian Higgs theory

    Article • Nonlinearity, May 2005, Institute of Physics Publishing

    Dongho Chae

  79. Existence of the semilocal Chern–Simons vortices

    Article • Journal of Mathematical Physics, April 2005, American Institute of Physics

    Dongho Chae

  80. Remarks on the blow-up criterion of the three-dimensional Euler equations

    Article • Nonlinearity, February 2005, Institute of Physics Publishing

    Dongho Chae

  81. On the multi-string solutions of the self-dual static Einstein-Maxwell-Higgs system

    Article • Calculus of Variations and Partial Differential Equations, May 2004, Springer Science + Business Media

    Dongho Chae

  82. Remarks on the Blow-up of the Euler Equations and the Related Equations

    Article • Communications in Mathematical Physics, March 2004, Springer Science + Business Media

    Dongho Chae

  83. On planar selfdual Electroweak vortices

    Article • Annales de l Institut Henri Poincaré C Analyse Non Linéaire, March 2004, Elsevier

    Dongho Chae

  84. On the Global Well-posedness and Stability of the Navier—Stokes and the Related Equations

    Article • January 2004, Springer Science + Business Media

    Dongho Chae

  85. On the Euler Equations in the Critical Triebel-Lizorkin Spaces

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

    Dongho Chae

  86. Remarks on the Helicity of the 3-D Incompressible Euler Equations

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

    Dongho Chae

  87. Global Well-Posedness in the Super-Critical Dissipative Quasi-Geostrophic Equations

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

    Dongho Chae

  88. The quasi-geostrophic equation in the Triebel Lizorkin spaces

    Article • Nonlinearity, January 2003, Institute of Physics Publishing

    Dongho Chae

  89. Existence of the self-graviting Chern–Simons vortices

    Article • Journal of Mathematical Physics, January 2003, American Institute of Physics

    Dongho Chae

  90. Global existence for small initial data in the Born–Infeld equations

    Article • Journal of Mathematical Physics, January 2003, American Institute of Physics

    Dongho Chae

  91. Non-topological solutions in the generalized self-dual Chern-Simons-Higgs theory

    Article • Calculus of Variations and Partial Differential Equations, January 2003, Springer Science + Business Media

    Dongho Chae

  92. Non-topological Multivortex Solutions to the Self-Dual Maxwell–Chern–Simons–Higgs Systems

    Article • Journal of Functional Analysis, December 2002, Elsevier

    Dongho Chae

  93. The global existence in the Cauchy problem of the Maxwell–Chern–Simons–Higgs system

    Article • Journal of Mathematical Physics, November 2002, American Institute of Physics

    Dongho Chae

  94. On the regularity of the axisymmetric solutions of the Navier-Stokes equations

    Article • Mathematische Zeitschrift, April 2002, Springer Science + Business Media

    Dongho Chae

  95. Global existence in the Cauchy problem of the relativistic Chern-Simons-Higgs theory

    Article • Nonlinearity, March 2002, Institute of Physics Publishing

    Dongho Chae

  96. On the well-posedness of the Euler equations in the Triebel-Lizorkin spaces

    Article • Communications on Pure and Applied Mathematics, February 2002, Wiley

    Dongho Chae

  97. Regularity criterion in terms of pressure for the Navier–Stokes equations

    Article • Nonlinear Analysis, November 2001, Elsevier

    Dongho Chae

  98. Global existence of spherically symmetric solutions to the coupled Einstein and nonlinear Klein-Gordon system

    Article • Classical and Quantum Gravity, October 2001, Institute of Physics Publishing

    Dongho Chae

  99. The Existence of Non-Topological Multivortex Solutions in the Relativistic Self-Dual Chern–Simons Theory

    Article • Communications in Mathematical Physics, December 2000, Springer Science + Business Media

    Dongho Chae

  100. Generic Solvability of the Axisymmetric 3-D Euler Equations and the 2-D Boussinesq Equations

    Article • Journal of Differential Equations, July 1999, Elsevier

    Dongho Chae

  101. Local existence and blow-up criterion of Hölder continuous solutions of the Boussinesq equations

    Article • Nagoya Mathematical Journal, January 1999, Cambridge University Press

    Dongho Chae

  102. Existence and nonexistence in Chern–Simons–Higgs theory with a constant electric charge density

    Article • Journal of Mathematical Physics, January 1999, American Institute of Physics

    Dongho Chae

  103. Global unique existence of a positive solution for a system of equations in electrochemistry

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, January 1998, Cambridge University Press

    Dongho Chae

  104. Axisymmetric weak solutions of the 3-D Euler equations for incompressible fluid flows

    Article • Nonlinear Analysis, December 1997, Elsevier

    Dongho Chae

  105. Existence and Uniqueness for Spatially Inhomogeneous Coagulation-Condensation Equation with Unbounded Kernels

    Article • Journal of Integral Equations and Applications, June 1997, Rocky Mountain Mathematics Consortium

    Dongho Chae

  106. Topological Multivortex Solutions of the Self-Dual Maxwell–Chern–Simons–Higgs System

    Article • Journal of Differential Equations, February 1997, Elsevier

    Dongho Chae

  107. Homogeneous statistical solutions and the vanishing interfacial energy limit of the Cahn-Hilliard equation

    Article • Nonlinear Analysis, January 1997, Elsevier

    Dongho Chae

  108. Local existence and blow-up criterion for the Boussinesq equations

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

    Dongho Chae

  109. Travelling Wave-Like Solutions of the Navier–Stokes and the Related Equations

    Article • Journal of Mathematical Analysis and Applications, December 1996, Elsevier

    Dongho Chae

  110. Exact controllability for semilinear parabolic equations with Neumann boundary conditions

    Article • Journal of Dynamical and Control Systems, October 1996, Springer Science + Business Media

    Dongho Chae

  111. On the breakdown of axisymmetric smooth solutions for the 3-D Euler equations

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

    Dongho Chae

  112. Existence and uniqueness for spatially inhomogeneous coagulation equation with sources and effluxes

    Article • Zeitschrift für angewandte Mathematik und Physik, July 1995, Springer Science + Business Media

    Dongho Chae

  113. Functional and measure-valued solutions of the euler equations for flows of incompressible fluids

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

    Dongho Chae

  114. Weak solutions of 2-D incompressible Euler equations

    Article • Nonlinear Analysis, September 1994, Elsevier

    Dongho Chae

  115. Some a priori estimates for weak solutions of the 3-D Navier-Stokes equations

    Article • Journal of Mathematical Analysis and Applications, June 1992, Elsevier

    Dongho Chae

  116. On the ensemble average in the study of approximate inertial manifolds, II

    Article • Journal of Mathematical Analysis and Applications, March 1992, Elsevier

    Dongho Chae

  117. Remarks On The Regularity Of Weak Solutions Of The Navier-Stokes Equations

    Article • Communications in Partial Differential Equations, January 1992, Taylor & Francis

    Dongho Chae

  118. On the ensemble average in the study of approximate inertial manifolds

    Article • Journal of Mathematical Analysis and Applications, September 1991, Elsevier

    Dongho Chae

  119. The vanishing viscosity limit of statistical solutions of the Navier-Stokes equations. I. 2-D periodic case

    Article • Journal of Mathematical Analysis and Applications, March 1991, Elsevier

    Dongho Chae

  120. The vanishing viscosity limit of statistical solutions of the Navier-Stokes equations. II. The general case

    Article • Journal of Mathematical Analysis and Applications, March 1991, Elsevier

    Dongho Chae