Nonlinear evolution dam problems in an unbounded domain

DOI10.1002/MMA.9623MaRDI QIDQ6152735

Mahmoud Bousselsal, Elmehdi Zaouche, Messaouda Ben Attia

Publication date: 12 March 2024

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

zbMATH Keywords

existenceunbounded domainnonlinear Darcy's lawcompressible and incompressible flowsnonlinear evolution dam problem

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30)

Cites Work

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• The evolution dam problem for a compressible fluid with nonlinear Darcy's law and Dirichlet boundary condition
• On the existence of a solution of a class of non-stationary free boundary problems
• A filtration problem with nonlinear Darcy's law and generalized boundary conditions

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