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

Youcef Amirat; Abdelhamid Ziani

doi:10.1006/jmaa.1997.5874

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 ◽

Cited By ~ 7

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 ◽

Miscible Flow

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Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant

Indiana University Mathematics Journal ◽

10.1512/iumj.2011.60.4447 ◽

2011 ◽

Vol 60 (6) ◽

pp. 1975-2020 ◽

Cited By ~ 8

Author(s):

Joachim Escher ◽

Mattieu Hillairet ◽

Philippe Laurencot ◽

Cristoph Walker

Keyword(s):

Parabolic System ◽

Weak Solutions ◽

System Modeling ◽

Global Weak Solutions ◽

Degenerate Parabolic System ◽

Insoluble Surfactant ◽

Degenerate Parabolic

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Classical solutions of a parabolic-hyperbolic system modeling a three-dimensional compressible miscible flow in porous media

Applicable Analysis ◽

10.1080/00036819908840734 ◽

1999 ◽

Vol 72 (1-2) ◽

pp. 155-168 ◽

Cited By ~ 1

Author(s):

Youcef Amirat ◽

Abdelhamid Ziani

Keyword(s):

Porous Media ◽

Hyperbolic System ◽

System Modeling ◽

Three Dimensional ◽

Flow In Porous Media ◽

Classical Solutions ◽

Miscible Flow

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The existence of weak solutions to immiscible compressible two-phase flow in porous media: The case of fields with different rock-types

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2013.18.1217 ◽

2013 ◽

Vol 18 (5) ◽

pp. 1217-1251 ◽

Cited By ~ 6

Author(s):

Brahim Amaziane ◽

◽

Leonid Pankratov ◽

Andrey Piatnitski ◽

◽

...

Keyword(s):

Porous Media ◽

Weak Solutions ◽

Two Phase Flow ◽

Flow In Porous Media ◽

Phase Flow ◽

Two Phase ◽

Existence Of Weak Solutions ◽

Rock Types

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A one-dimensional moving grid solution for the coupled non-linear equations governing multiphase flow in porous media. 1: Model development

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650140104 ◽

1992 ◽

Vol 14 (1) ◽

pp. 25-45 ◽

Cited By ~ 5

Author(s):

Amir Gamliel ◽

Linda M. Abriola

Keyword(s):

Porous Media ◽

Multiphase Flow ◽

Linear Equations ◽

Model Development ◽

Flow In Porous Media ◽

Moving Grid ◽

One Dimensional ◽

Non Linear ◽

Grid Solution ◽

Non Linear Equations

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Analytical solution for one-dimensional three-phase incompressible flow in porous media for concave relative permeability curves

International Journal of Non-Linear Mechanics ◽

10.1016/j.ijnonlinmec.2021.103792 ◽

2021 ◽

pp. 103792

Author(s):

Wagner Q. Barros ◽

Adolfo P. Pires ◽

Álvaro M.M. Peres

Keyword(s):

Porous Media ◽

Analytical Solution ◽

Relative Permeability ◽

Incompressible Flow ◽

Flow In Porous Media ◽

One Dimensional ◽

Three Phase ◽

Relative Permeability Curves

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Convergence Analysis of a Mixed Finite Volume Scheme for an Elliptic-Parabolic System Modeling Miscible Fluid Flows in Porous Media

SIAM Journal on Numerical Analysis ◽

10.1137/060657236 ◽

2007 ◽

Vol 45 (5) ◽

pp. 2228-2258 ◽

Cited By ~ 21

Author(s):

Claire Chainais-Hillairet ◽

Jérôme Droniou

Keyword(s):

Porous Media ◽

Convergence Analysis ◽

Finite Volume ◽

Parabolic System ◽

System Modeling ◽

Fluid Flows ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Flows In Porous Media ◽

Miscible Fluid

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A one-dimensional line element model for transient free surface flow in porous media

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125747 ◽

2021 ◽

Vol 392 ◽

pp. 125747 ◽

Cited By ~ 1

Author(s):

Zuyang Ye ◽

Qingli Fan ◽

Shibing Huang ◽

Aiping Cheng

Keyword(s):

Porous Media ◽

Free Surface ◽

Line Element ◽

Free Surface Flow ◽

Element Model ◽

Surface Flow ◽

Flow In Porous Media ◽

One Dimensional

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Exact Solutions for One-Dimensional Transient Gas Flow in Porous Media with Gravity and Klinkenberg Effects

Transport in Porous Media ◽

10.1007/s11242-014-0445-x ◽

2014 ◽

Vol 107 (2) ◽

pp. 403-417 ◽

Cited By ~ 11

Author(s):

Mohamed Hayek

Keyword(s):

Porous Media ◽

Exact Solutions ◽

Gas Flow ◽

Flow In Porous Media ◽

One Dimensional ◽

Klinkenberg Effects

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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 ◽

Flow Model ◽

Three Dimensional ◽

Global Weak Solutions ◽

Three Dimensional Flow ◽

Dimensional Flow ◽

Species Mixture

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Global weak solutions in a three-dimensional degenerate chemotaxis-Navier–Stokes system modeling coral fertilization

Nonlinearity ◽

10.1088/1361-6544/ab834e ◽

2020 ◽

Vol 33 (7) ◽

pp. 3237-3267

Author(s):

Ji Liu

Keyword(s):

Weak Solutions ◽

Stokes System ◽

System Modeling ◽

Three Dimensional ◽

Navier Stokes ◽

Global Weak Solutions

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