All Stories

  1. A monolithic phase-field model of a fluid-driven fracture in a nonlinear poroelastic medium

    Article • Mathematics and Mechanics of Solids, October 2018, SAGE Publications

    Andro Mikelic

  2. Role of non-ideality for the ion transport in porous media: Derivation of the macroscopic equations using upscaling

    Article • Physica D Nonlinear Phenomena, July 2014, Elsevier

    Andro Mikelic, Professor ANDREY Piatnitski

  3. A nonlinear effective slip interface law for transport phenomena between a fracture flow and a porous medium

    Article • Discrete and Continuous Dynamical Systems - S, May 2014, American Institute of Mathematical Sciences (AIMS)

    Andro Mikelic

  4. Numerical convergence study of iterative coupling for coupled flow and geomechanics

    Article • Computational Geosciences, January 2014, Springer Science + Business Media

    Andro Mikelic

  5. Multiscale Problems in Science and Technology. Challenges to Mathematical Analysis and Perspectives

    Article • Nonlinear Analysis Real World Applications, January 2014, Elsevier

    Andro Mikelic

  6. Isothermal water flows in low porosity porous media in presence of vapor–liquid phase change

    Article • Nonlinear Analysis Real World Applications, January 2014, Elsevier

    Andro Mikelic

  7. Pressure jump interface law for the Stokes–Darcy coupling: confirmation by direct numerical simulations

    Article • Journal of Fluid Mechanics, September 2013, Cambridge University Press

    Andro Mikelic

  8. Effective slip law for general viscous flows over an oscillating surface

    Article • Mathematical Methods in the Applied Sciences, August 2013, Wiley

    Andro Mikelic

  9. Special issue “Mathematics of Porous Media,” dedicated to Professor C.J. van Duijn on the occasion of his 60th anniversary

    Article • Computational Geosciences, April 2013, Springer Science + Business Media

    Andro Mikelic

  10. Ion transport in porous media: derivation of the macroscopic equations using upscaling and properties of the effective coefficients

    Article • Computational Geosciences, February 2013, Springer Science + Business Media

    Andro Mikelic, Professor ANDREY Piatnitski

  11. Asymptotic analysis of the Poisson–Boltzmann equation describing electrokinetics in porous media

    Article • Nonlinearity, February 2013, Institute of Physics Publishing

    Andro Mikelic, Professor ANDREY Piatnitski

  12. Dynamic Biot's equations

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

    Andro Mikelic

  13. ON THE INTERFACE LAW BETWEEN A DEFORMABLE POROUS MEDIUM CONTAINING A VISCOUS FLUID AND AN ELASTIC BODY

    Article • Mathematical Models and Methods in Applied Sciences, November 2012, World Scientific Pub Co Pte Lt

    Andro Mikelic

  14. Convergence of iterative coupling for coupled flow and geomechanics

    Article • Computational Geosciences, October 2012, Springer Science + Business Media

    Andro Mikelic

  15. Editorial

    Article • IMA Journal of Applied Mathematics, August 2012, Oxford University Press (OUP)

    Andro Mikelic

  16. Effective Pressure Interface Law for Transport Phenomena between an Unconfined Fluid and a Porous Medium Using Homogenization

    Article • Multiscale Modeling and Simulation, January 2012, Society for Industrial & Applied Mathematics (SIAM)

    Andro Mikelic

  17. Erratum: “Homogenization of the linearized ionic transport equations in rigid periodic porous media” [J. Math. Phys. 51, 123103 (2010)]

    Article • Journal of Mathematical Physics, June 2011, American Institute of Physics

    Andro Mikelic, Professor ANDREY Piatnitski

  18. RIGOROUS DERIVATION OF A HYPERBOLIC MODEL FOR TAYLOR DISPERSION

    Article • Mathematical Models and Methods in Applied Sciences, May 2011, World Scientific Pub Co Pte Lt

    Andro Mikelic

  19. A positivity-preserving ALE finite element scheme for convection–diffusion equations in moving domains

    Article • Journal of Computational Physics, April 2011, Elsevier

    Andro Mikelic

  20. Homogenization Limit of a Model System for Interaction of Flow, Chemical Reactions, and Mechanics in Cell Tissues

    Article • SIAM Journal on Mathematical Analysis, January 2011, Society for Industrial & Applied Mathematics (SIAM)

    Andro Mikelic

  21. Existence of a Unique Solution to a Nonlinear Moving-Boundary Problem of Mixed Type Arising in Modeling Blood Flow

    Article • January 2011, Springer Science + Business Media

    Andro Mikelic

  22. Mathematical Models in the Manufacturing of Glass

    Article • January 2011

    Andro Mikelic

  23. Global-in-time solutions for the isothermal Matovich–Pearson equations

    Article • Nonlinearity, December 2010, Institute of Physics Publishing

    Andro Mikelic

  24. Asymptotic equations for the terminal phase of glass fiber drawing and their analysis

    Article • Nonlinear Analysis Real World Applications, December 2010, Elsevier

    Andro Mikelic

  25. Editorial

    Article • Nonlinear Analysis Real World Applications, December 2010, Elsevier

    Andro Mikelic

  26. Homogenization of the linearized ionic transport equations in rigid periodic porous media

    Article • Journal of Mathematical Physics, December 2010, American Institute of Physics

    Andro Mikelic, Professor ANDREY Piatnitski

  27. Non-Isothermal Flow of Molten Glass: Mathematical Challenges and Industrial Questions

    Article • November 2010, Springer Science + Business Media

    Andro Mikelic

  28. Two-scale expansion with drift approach to the Taylor dispersion for reactive transport through porous media

    Article • Chemical Engineering Science, April 2010, Elsevier

    Andro Mikelic, Professor ANDREY Piatnitski

  29. Letter to the Editor: Comments on ‘About the Beavers and Joseph Boundary Condition’, DOI:10.1007/s11242-009-9435-9

    Article • Transport in Porous Media, March 2010, Springer Science + Business Media

    Andro Mikelic

  30. A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure

    Article • Journal of Differential Equations, March 2010, Elsevier

    Andro Mikelic

  31. Homogenization Approach to the Dispersion Theory for Reactive Transport through Porous Media

    Article • SIAM Journal on Mathematical Analysis, January 2010, Society for Industrial & Applied Mathematics (SIAM)

    Andro Mikelic, Professor ANDREY Piatnitski

  32. Rigorous upscaling of the reactive flow with finite kinetics and under dominant Péclet number

    Article • Continuum Mechanics and Thermodynamics, April 2009, Springer Science + Business Media

    Andro Mikelic

  33. Polynomial Filtration Laws for Low Reynolds Number Flows Through Porous Media

    Article • Transport in Porous Media, April 2009, Springer Science + Business Media

    Andro Mikelic

  34. An existence result for the equations describing a gas–liquid two-phase flow

    Article • Comptes Rendus Mécanique, April 2009, Cellule MathDoc/CEDRAM

    Andro Mikelic

  35. Modeling Effective Interface Laws for Transport Phenomena Between an Unconfined Fluid and a Porous Medium Using Homogenization

    Article • Transport in Porous Media, February 2009, Springer Science + Business Media

    Andro Mikelic

  36. Laplace transform approach to the rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore

    Article • Applicable Analysis, December 2008, Taylor & Francis

    Andro Mikelic

  37. Analysis of Differential Equations Modelling the Reactive Flow through a Deformable System of Cells

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

    Andro Mikelic

  38. ON THE EQUATIONS GOVERNING THE FLOW OF MECHANICALLY INCOMPRESSIBLE, BUT THERMALLY EXPANSIBLE, VISCOUS FLUIDS

    Article • Mathematical Models and Methods in Applied Sciences, June 2008, World Scientific Pub Co Pte Lt

    Andro Mikelic

  39. On Upscaling Certain Flows in Deformable Porous Media

    Article • Multiscale Modeling and Simulation, January 2008, Society for Industrial & Applied Mathematics (SIAM)

    Andro Mikelic

  40. Chapter 1 Effective Dispersion Equations for Reactive Flows with Dominant Péclet and Damkohler Numbers

    Article • January 2008, Elsevier

    Andro Mikelic

  41. Analysis of Model Equations for Stress-Enhanced Diffusion in Coal Layers. Part I: Existence of a Weak Solution

    Article • SIAM Journal on Mathematical Analysis, January 2008, Society for Industrial & Applied Mathematics (SIAM)

    Andro Mikelic

  42. Rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore

    Article • ANNALI DELL UNIVERSITA DI FERRARA, October 2007, Springer Science + Business Media

    Andro Mikelic

  43. Homogenization approach to filtration through a fibrous medium

    Article • Networks & Heterogeneous Media, June 2007, American Institute of Mathematical Sciences (AIMS)

    Andro Mikelic

  44. Fluid-structure interaction in a pre-stressed tube with thick elastic walls I: the stationary Stokes problem

    Article • Networks & Heterogeneous Media, June 2007, American Institute of Mathematical Sciences (AIMS)

    Andro Mikelic

  45. On the justification of the Reynolds equation, describing isentropic compressible flows through a tiny pore

    Article • ANNALI DELL UNIVERSITA DI FERRARA, April 2007, Springer Science + Business Media

    Andro Mikelic

  46. Homogenization Closure For A Two-Dimensional Effective Model Describing Fluid-Structure Interaction in Blood Flow

    Article • January 2007, Springer Science + Business Media

    Andro Mikelic

  47. A diffusion-consumption problem for oxygen in a living tissue perfused by capillaries

    Article • Nonlinear Differential Equations and Applications NoDEA, November 2006, Springer Science + Business Media

    Andro Mikelic

  48. MODELING AND HOMOGENIZING A PROBLEM OF ABSORPTION/DESORPTION IN POROUS MEDIA

    Article • Mathematical Models and Methods in Applied Sciences, November 2006, World Scientific Pub Co Pte Lt

    Andro Mikelic

  49. Effective laws for the Poisson equation on domains with curved oscillating boundaries

    Article • Applicable Analysis, May 2006, Taylor & Francis

    Andro Mikelic

  50. Blood Flow in Compliant Arteries: An Effective Viscoelastic Reduced Model, Numerics, and Experimental Validation

    Article • Annals of Biomedical Engineering, March 2006, Springer Science + Business Media

    Andro Mikelic

  51. Approximation de la lubrification pour l’étalement de gouttes en présence d’évaporation, application aux biopuces

    Article • La Houille Blanche, March 2006, EDP Sciences

    Andro Mikelic

  52. Rigorous Upscaling of the Reactive Flow through a Pore, under Dominant Peclet and Damkohler Numbers

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

    Andro Mikelic

  53. Modeling Viscoelastic Behavior of Arterial Walls and Their Interaction with Pulsatile Blood Flow

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

    Andro Mikelic

  54. Viscous Drops Spreading With Evaporation And Applications To DNA Biochips

    Article • January 2006, Springer Science + Business Media

    Andro Mikelic

  55. A two-dimensional effective model describing fluid–structure interaction in blood flow: analysis, simulation and experimental validation

    Article • Comptes Rendus Mécanique, December 2005, Cellule MathDoc/CEDRAM

    Andro Mikelic

  56. Reactive Flow and Transport Through Complex Systems

    Article • Oberwolfach Reports, January 2005, European Mathematical Publishing House

    Andro Mikelic

  57. Self-Consistent Effective Equations Modeling Blood Flow in Medium-to-Large Compliant Arteries

    Article • Multiscale Modeling and Simulation, January 2005, Society for Industrial & Applied Mathematics (SIAM)

    Andro Mikelic

  58. Modeling solute transport through unsaturated porous media using homogenization I

    Article • Computational and Applied Mathematics, December 2004, Brazilian Society for Computational and Applied Mathematics (SBMAC)

    Andro Mikelic

  59. BLOOD PERFUSION IN MUSCLES: FROM MICROSCOPIC MODELS TO CONTINUUM APPROACH VIA HOMOGENIZATION

    Article • April 2004, World Scientific Pub Co Pte Lt

    Andro Mikelic

  60. Fluid injection model without surface tension for resins in thin molds

    Article • Journal of Computational and Applied Mathematics, March 2004, Elsevier

    Andro Mikelic

  61. Recent Developments in Multiscale Problems Coming from Fluid Mechanics

    Article • January 2003, Springer Science + Business Media

    Andro Mikelic

  62. Effective Equations Modeling the Flow of a Viscous Incompressible Fluid through a Long Elastic Tube Arising in the Study of Blood Flow through Small Arteries

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

    Andro Mikelic

  63. HOMOGENIZING A FLOW OF AN INCOMPRESSIBLE INVISCID FLUID THROUGH AN ELASTIC POROUS MEDIA

    Article • January 2003, World Scientific Pub Co Pte Lt

    Andro Mikelic

  64. Effective equations describing the flow of a viscous incompressible fluid through a long elastic tube

    Article • Comptes Rendus Mécanique, October 2002, Cellule MathDoc/CEDRAM

    Andro Mikelic

  65. Multiscale Problems in Science and Technology

    Article • January 2002, Springer Science + Business Media

    Andro Mikelic

  66. The 3D flow of a liquid through a porous medium with absorbing and swelling granules

    Article • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications, January 2002, European Mathematical Publishing House

    Andro Mikelic

  67. Écoulement tangentiel sur une surface rugueuse et loi de Navier

    Article • Annales mathématiques Blaise Pascal, January 2002, Cellule MathDoc/CEDRAM

    Andro Mikelic

  68. Derivation of the Diphasic Biot’s Law for an Elastic Solid Matrix Containing Isolated Fluid Drops

    Article • January 2002, Springer Science + Business Media

    Andro Mikelic

  69. Effective Buckley-Leverett Equations by Homogenization

    Article • January 2002, Springer Science + Business Media

    Andro Mikelic

  70. Effective Equations for Two-Phase Flow with Trapping on the Micro Scale

    Article • SIAM Journal on Applied Mathematics, January 2002, Society for Industrial & Applied Mathematics (SIAM)

    Andro Mikelic

  71. Homogenizing the acoustic properties of the seabed, part II

    Article • Mathematical and Computer Modelling, April 2001, Elsevier

    Andro Mikelic

  72. On the Roughness-Induced Effective Boundary Conditions for an Incompressible Viscous Flow

    Article • Journal of Differential Equations, February 2001, Elsevier

    Andro Mikelic

  73. Asymptotic Analysis of the Laminar Viscous Flow Over a Porous Bed

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

    Andro Mikelic

  74. The derivation of a nonlinear filtration law including the inertia effects via homogenization

    Article • Nonlinear Analysis, September 2000, Elsevier

    Andro Mikelic

  75. Homogenizing the acoustic properties of the seabed: Part I

    Article • Nonlinear Analysis, April 2000, Elsevier

    Andro Mikelic

  76. On the filtration through porous media with partially soluble permeable grains

    Article • Nonlinear Differential Equations and Applications NoDEA, February 2000, Springer Science + Business Media

    Andro Mikelic

  77. Filtration in Porous Media and Industrial Application

    Article • January 2000

    Andro Mikelic

  78. Homogenization theory and applications to filtration through porous media

    Article • January 2000, Springer Science + Business Media

    Andro Mikelic

  79. On The Interface Boundary Condition of Beavers, Joseph, and Saffman

    Article • SIAM Journal on Applied Mathematics, January 2000, Society for Industrial & Applied Mathematics (SIAM)

    Andro Mikelic

  80. HOMOGENIZATION OF THE LAPLACE EQUATION IN A PARTIALLY PERFORATED DOMAIN

    Article • May 1999, World Scientific Pub Co Pte Lt

    Andro Mikelic

  81. On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions

    Article • Nonlinearity, November 1998, Institute of Physics Publishing

    Andro Mikelic

  82. On the Equations Describing a Relaxation Toward a Statistical Equilibrium State in the Two-Dimensional Perfect Fluid Dynamics

    Article • SIAM Journal on Mathematical Analysis, September 1998, Society for Industrial & Applied Mathematics (SIAM)

    Andro Mikelic

  83. Homogenization of an elastic material with inclusions in frictionless contact

    Article • Mathematical and Computer Modelling, August 1998, Elsevier

    Andro Mikelic

  84. Modèle de double porosité aléatoire

    Article • Comptes Rendus de l Académie des Sciences - Series I - Mathematics, July 1998, Elsevier

    Andro Mikelic, Professor ANDREY Piatnitski

  85. Nonstationary flows with viscous heating effects

    Article • ESAIM Proceedings, January 1997, EDP Sciences

    Andro Mikelic

  86. Non-Newtonian Flow

    Article • January 1997, Springer Science + Business Media

    Andro Mikelic

  87. WEAK NONLINEAR CORRECTIONS FOR DARCY’S LAW

    Article • Mathematical Models and Methods in Applied Sciences, December 1996, World Scientific Pub Co Pte Lt

    Andro Mikelic

  88. Convergence of the Homogenization Process for a Double-Porosity Model of Immiscible Two-Phase Flow

    Article • SIAM Journal on Mathematical Analysis, November 1996, Society for Industrial & Applied Mathematics (SIAM)

    Andro Mikelic

  89. Homogenization of a polymer flow through a porous medium

    Article • Nonlinear Analysis, April 1996, Elsevier

    Andro Mikelic

  90. On the stationary quasi‐Newtonian flow obeying a power‐law

    Article • Mathematical Methods in the Applied Sciences, September 1995, Wiley

    Andro Mikelic

  91. STATIONARY SOLUTIONS TO A QUASI-NEWTONIAN FLOW WITH VISCOUS HEATING

    Article • Mathematical Models and Methods in Applied Sciences, September 1995, World Scientific Pub Co Pte Lt

    Andro Mikelic

  92. Effective equations of two-phase flow in random media

    Article • Calculus of Variations and Partial Differential Equations, June 1995, Springer Science + Business Media

    Andro Mikelic

  93. Homogenization of the heat equation for a domain with a network of pipes with a well-mixed fluid

    Article • Annali di Matematica Pura ed Applicata (1923 -), December 1994, Springer Science + Business Media

    Andro Mikelic

  94. Regularity and Uniqueness Results for Two-Phase Miscible Flows in Porous Media

    Article • January 1993, Springer Science + Business Media

    Andro Mikelic

  95. One-Dimensional Thermoelastic Contact with a Stress-Dependent Radiation Condition

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

    Andro Mikelic

  96. Optimal shape design in contact problems with normal compliance and friction

    Article • Applied Mathematics Letters, March 1992, Elsevier

    Andro Mikelic

  97. Existence for the Cahn-Hilliard phase separation model with a nondifferentiable energy

    Article • Annali di Matematica Pura ed Applicata (1923 -), December 1991, Springer Science + Business Media

    Andro Mikelic

  98. Homogenization of nonstationary Navier-Stokes equations in a domain with a grained boundary

    Article • Annali di Matematica Pura ed Applicata (1923 -), December 1991, Springer Science + Business Media

    Andro Mikelic

  99. Mathematical theory of stationary miscible filtration

    Article • Journal of Differential Equations, March 1991, Elsevier

    Andro Mikelic

  100. A Global Existence Result for the Quasistatic Frictional Contact Problem with Normal Compliance

    Article • January 1991, Springer Science + Business Media

    Andro Mikelic

  101. The rigid punch problem with friction

    Article • International Journal of Engineering Science, January 1991, Elsevier

    Andro Mikelic

  102. On the stochastic Cahn-Hilliard equation

    Article • Nonlinear Analysis, January 1991, Elsevier

    Andro Mikelic

  103. Constrained anisotropic elastic materials in unilateral contact with or without friction

    Article • Nonlinear Analysis, January 1991, Elsevier

    Andro Mikelic

  104. On the Potential Flow of an Ideal Incompressible Fluid through a Porous Boundary

    Article • IMA Journal of Applied Mathematics, January 1991, Oxford University Press (OUP)

    Andro Mikelic

  105. Identification of mobilities for the Buckley-Leverett equation

    Article • Inverse Problems, October 1990, Institute of Physics Publishing

    Andro Mikelic

  106. Duality applied to contact problems with friction

    Article • Applied Mathematics & Optimization, July 1990, Springer Science + Business Media

    Andro Mikelic

  107. Mathematical Problems of Statistical Hydromechanics (M. J. Vishik and A. V. Fursikov)

    Article • SIAM Review, December 1989, Society for Industrial & Applied Mathematics (SIAM)

    Andro Mikelic

  108. A convergence theorem for homogenization of two-phase miscible flow through fractured reservoirs with uniform fracture distributions

    Article • Applicable Analysis, January 1989, Taylor & Francis

    Andro Mikelic

  109. On friction problems with normal compliance

    Article • Nonlinear Analysis, January 1989, Elsevier

    Andro Mikelic

  110. Homogenization of Stationary Flow of Miscible Fluids in a Domain with a Grained Boundary

    Article • SIAM Journal on Mathematical Analysis, March 1988, Society for Industrial & Applied Mathematics (SIAM)

    Andro Mikelic

  111. Frictional contact problems with normal compliance

    Article • International Journal of Engineering Science, January 1988, Elsevier

    Andro Mikelic

  112. Stationary Incompressible Viscous Fluid Flow through a Porous Boundary

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, January 1987, Wiley

    Andro Mikelic

  113. The potential integral for a polynomial distribution over a curved triangular domain

    Article • International Journal for Numerical Methods in Engineering, December 1986, Wiley

    Andro Mikelic

  114. Constrained kriging using quadratic programming

    Article • Journal of the International Association for Mathematical Geology, May 1984, Springer Science + Business Media

    Andro Mikelic

  115. Collective field treatment of confined fermions and bosons in the large-N approximation

    Article • Physics Letters A, April 1984, Elsevier

    Andro Mikelic

  116. Solution of a relativistic quasipotential wave equation for a two-body bound state

    Article • Physical Review C, August 1980, American Physical Society (APS)

    Andro Mikelic

  117. Blood flow through axially symmetric sections of compliant vessels: new effective closed models

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Andro Mikelic