Asymptotic behavior of the solutions of an elliptic-parabolic system arising in flow in porous media

DOI10.4171/ZAA/1202zbMath1072.35039OpenAlexW2025760380MaRDI QIDQ1884384

Abdelhamid Ziani, Youcef Amirat

Publication date: 1 November 2004

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1202

zbMATH Keywords

miscible flow in porous media

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65)

Related Items

An Arbitrary-Order Scheme on Generic Meshes for Miscible Displacements in Porous Media, Semi-classical solutions for a nonlinear coupled elliptic-parabolic problem, Stochastic elliptic–parabolic system arising in porous media, Analysis of miscible displacement through porous media with vanishing molecular diffusion and singular wells, On some nonlocal homogenization problems and problems of fluids in porous media: a contribution of Abdelhamid Ziani, Transport of heat and mass in a fluid with vanishing mobility

Cites Work

• An analysis of the grid orientation effect in numerical simulation of miscible displacement
• A study of spatial approximations for simulating fluid displacements in petroleum reservoirs
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• Finite element simulation of nonlinear viscous fingering in miscible displacements with anisotropic dispersion and nonmonotonic viscosity profiles
• On existence and uniqueness results for a coupled systems modeling miscible displacement in porous media
• Mathematical Analysis of Miscible Displacement in Porous Medium
• Mathematical Analysis for Reservoir Models
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