On a Miscible Displacement Model in Porous Media Flow with Measure Data

DOI10.1137/130949294zbMath1323.35100arXiv1403.1007OpenAlexW1993610703MaRDI QIDQ5174876

Kyle S. Talbot, Jérôme Droniou

Publication date: 19 February 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1007

zbMATH Keywords

existencemeasure dataelliptic-parabolic systemdegenerate equationsflow in porous medium

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) Singular parabolic equations (35K67) PDEs with measure (35R06)

Related Items (9)

Convergence in \(C([0,T;L^{2}(\Omega))\) of weak solutions to perturbed doubly degenerate parabolic equations] ⋮ An Arbitrary-Order Scheme on Generic Meshes for Miscible Displacements in Porous Media ⋮ Continuous data assimilation for displacement in a porous medium ⋮ Stochastic elliptic–parabolic system arising in porous media ⋮ Analysis of miscible displacement through porous media with vanishing molecular diffusion and singular wells ⋮ Numerical analysis of a two-phase flow discrete fracture matrix model ⋮ Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media ⋮ Unified convergence analysis of numerical schemes for a miscible displacement problem ⋮ Uniform temporal convergence of numerical schemes for miscible flow through porous media

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