On existence, uniqueness and two-scale convergence of a model for coupled flows in heterogeneous media

DOI10.1007/s10440-020-00378-yzbMath1464.35208OpenAlexW3114538758MaRDI QIDQ2035835

Michal Beneš

Publication date: 25 June 2021

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-020-00378-y

zbMATH Keywords

homogenizationmixed boundary conditionsasymptotic analysisqualitative propertiestwo-scale convergencecoupled heat and mass transportglobal existence and uniqueness of weak solutionsnonlinear degenerate parabolic systemfirst order correctors

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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