Global Weak Solutions to Equations of Compressible Miscible Flows in Porous Media

SIAM Journal on Mathematical Analysis ◽

10.1137/050640321 ◽

2007 ◽

Vol 38 (6) ◽

pp. 1825-1846 ◽

Author(s):

Y. Amirat ◽

V. Shelukhin

Keyword(s):

Porous Media ◽

Weak Solutions ◽

Solutions To Equations ◽

Global Weak Solutions ◽

Flows In Porous Media ◽

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

Flow in Porous Media ◽

10.1007/978-3-0348-8564-5_13 ◽

1993 ◽

pp. 139-154 ◽

Author(s):

Andro Mikelić

Keyword(s):

Porous Media ◽

Two Phase ◽

Flows In Porous Media ◽

Miscible Flows ◽

Uniqueness Results

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Weak solutions for immiscible compressible multifluid flows in porous media

Comptes Rendus Mathematique ◽

10.1016/j.crma.2009.01.023 ◽

2009 ◽

Vol 347 (5-6) ◽

pp. 249-254 ◽

Author(s):

Cédric Galusinski ◽

Mazen Saad

Keyword(s):

Porous Media ◽

Weak Solutions ◽

Flows In Porous Media

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Global Weak Solutions to Equations of Motion for Magnetic Fluids

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-006-0234-6 ◽

2007 ◽

Vol 10 (3) ◽

pp. 326-351 ◽

Author(s):

Youcef Amirat ◽

Kamel Hamdache ◽

François Murat

Keyword(s):

Weak Solutions ◽

Equations Of Motion ◽

Magnetic Fluids ◽

Solutions To Equations ◽

Global Weak Solutions

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Global weak solutions of a three-dimensional flow model for a multi-species mixture in porous media

Mathematical Methods in the Applied Sciences ◽

10.1002/(sici)1099-1476(19980725)21:11<1035::aid-mma981>3.0.co;2-h ◽

1998 ◽

Vol 21 (11) ◽

pp. 1035-1048

Author(s):

Youcef Amirat ◽

Yue-Jun Peng

Keyword(s):

Porous Media ◽

Weak Solutions ◽

Three Dimensional ◽

Global Weak Solutions ◽

Three Dimensional Flow ◽

Dimensional Flow ◽

Species Mixture

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Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2011.04.001 ◽

2011 ◽

Vol 28 (4) ◽

pp. 583-598 ◽

Author(s):

Joachim Escher ◽

Philippe Laurençot ◽

Bogdan-Vasile Matioc

Keyword(s):

Porous Media ◽

Parabolic System ◽

Weak Solutions ◽

System Modelling ◽

Degenerate Parabolic System ◽

Two Phase Flows ◽

Two Phase ◽

Flows In Porous Media ◽

Existence And Stability ◽

Degenerate Parabolic

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A 1D-Averaged Model for Stable and Unstable Miscible Flows in Porous Media with Varying Péclet Numbers and Aspect Ratios

Transport in Porous Media ◽

10.1007/s11242-005-0620-1 ◽

2006 ◽

Vol 62 (2) ◽

pp. 205-232 ◽

Author(s):

P. M. J. Tardy ◽

J. R. A. Pearson

Keyword(s):

Porous Media ◽

Flows In Porous Media ◽

Miscible Flows ◽

Aspect Ratios ◽

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Weak solutions to the equations of stationary magnetohydrodynamic flows in porous media

Communications on Pure and Applied Analysis ◽

10.3934/cpaa.2014.13.2445 ◽

2014 ◽

Vol 13 (6) ◽

pp. 2445-2464

Author(s):

Youcef Amirat ◽

Laurent Chupin ◽

Rachid Touzani

Keyword(s):

Porous Media ◽

Weak Solutions ◽

Flows In Porous Media ◽

Magnetohydrodynamic Flows

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Global Weak Solutions for a Parabolic System Modeling a One-Dimensional Miscible Flow in Porous Media

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1997.5874 ◽

1998 ◽

Vol 220 (2) ◽

pp. 697-718 ◽

Author(s):

Youcef Amirat ◽

Abdelhamid Ziani

Keyword(s):

Porous Media ◽

Parabolic System ◽

Weak Solutions ◽

System Modeling ◽

Flow In Porous Media ◽

Global Weak Solutions ◽

One Dimensional ◽

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The effect of mobility gradients on viscous instabilities in miscible flows in porous media

Physics of Fluids ◽

10.1063/1.869943 ◽

1999 ◽

Vol 11 (3) ◽

pp. 740-742 ◽

Author(s):

D. Loggia ◽

N. Rakotomalala ◽

D. Salin ◽

Y. C. Yortsos

Keyword(s):

Porous Media ◽

Flows In Porous Media ◽

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Global solvability of the equations for compressible miscible flows in porous media

Doklady Mathematics ◽

10.1134/s1064562407030167 ◽

2007 ◽

Vol 75 (3) ◽

pp. 390-394

Author(s):

V. V. Shelukhin ◽

Y. Amirat

Keyword(s):

Porous Media ◽

Global Solvability ◽

Flows In Porous Media ◽

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