Uniqueness of solution of the unsteady filtration problem in heterogeneous porous media

DOI10.1007/s13398-016-0365-4zbMath1384.35097arXiv1508.02938OpenAlexW2268531479MaRDI QIDQ683605

Abdeslem Lyaghfouri, Elmehdi Zaouche

Publication date: 8 February 2018

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02938

zbMATH Keywords

monotonicityparabolic equationfree boundaryuniqueness of solutionfluid flowheterogeneous porous mediumunsteady state dam problem\(L^p\)-continuity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Uniqueness of solution of a nonlinear evolution dam problem in a heterogeneous porous medium ⋮ Uniqueness of solution of a heterogeneous evolution dam problem associated with a compressible fluid flow through a rectangular porous medium ⋮ Uniqueness of solution of the unsteady filtration problem in heterogeneous porous media

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