A free boundary problem involving a cusp Part I: Global analysis

DOI10.1017/S0956792500000978zbMath0768.76068MaRDI QIDQ4033081

Hans Wilhelm Alt, C. J. Van Duijn

Publication date: 16 May 1993

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

monotonicityreservoirexistenceuniquenesswellsweak variational formulationinterface between fresh and salt water

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Reaction effects in flows (76V05) Free boundary problems for PDEs (35R35)

Cites Work

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• The fluid flow through porous media. Regularity of the free surface
• Sur la régularité des solutions de l'équation \(\text{div}\;A (x,u,\nabla u) = B(x,u,\nabla u)\) avec des conditions aux limites unilatérales et melées
• A stationary flow of fresh and salt groundwater in a coastal aquifer
• ON THE FILTRATION OF A FLUID THROUGH A POROUS MEDIUM WITH VARIABLE CROSS SECTION

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