PARABOLIC AND DEGENERATE PARABOLIC MODELS FOR PRESSURE-DRIVEN TRANSPORT PROBLEMS

DOI10.1142/S0218202510004337zbMath1195.35190MaRDI QIDQ3560031

Catherine Choquet

Publication date: 19 May 2010

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

fixed pointcompensated compactnesshyperbolic PDEdegenerate parabolic PDEcoupled system of PDEspartially saturated mediumconsolidational flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) First-order nonlinear hyperbolic equations (35L60) Second-order parabolic systems (35K40)

Related Items (5)

Derivation of a Sharp-Diffuse Interfaces Model for Seawater Intrusion in a Free Aquifer. Numerical Simulations ⋮ Analytical and variational numerical methods for unstable miscible displacement flows in porous media ⋮ Mathematical Analysis of a Seawater Intrusion Model Including Storativity ⋮ Numerical validation of an upscaled sharp-diffuse interface model for stratified miscible flows ⋮ Mathematical analysis of a sharp-diffuse interfaces model for seawater intrusion

Cites Work

• Existence of a solution for two phase flow in porous media: the case that the porosity depends on the pressure
• Compact sets in the space \(L^ p(0,T;B)\)
• A singular-degenerate free boundary problem arising from the moisture evaporation in a partially saturated porous medium
• Transport of heat and mass in a fluid with vanishing mobility
• Mathematical Analysis of Miscible Displacement in Porous Medium
• MATHEMATICAL ANALYSIS FOR COMPRESSIBLE MISCIBLE DISPLACEMENT MODELS IN POROUS MEDIA
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