Proof of Dupuit's assumption for the free boundary problem in an inhomogeneous porous medium

DOI10.1134/S0001434618010054zbMath1444.76102OpenAlexW2794336064MaRDI QIDQ1646334

A. Yu. Belyaev

Publication date: 25 June 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618010054

zbMATH Keywords

variational inequalityDarcy's lawdam problem

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Variational methods applied to problems in fluid mechanics (76M30)

Cites Work

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• Variational inequalities and flow in porous media
• A variational principle for problems of steady-state ground water flow with a free surface
• Free boundary problems in the theory of fluid flow through porous media: Existence and uniqueness theorems
• A filtration problem in a porous medium with variable permeability
• Strömungen durch inhomogene poröse Medien mit freiem Rand.
• Solvability of free boundary problems for steady groundwater flow

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