A Proof of the Convexity of the Free Boundary for Porous Flow Through a Rectangular Dam Using the Maximum Principle

DOI10.1093/imamat/25.2.111zbMath0436.76070OpenAlexW2064339679MaRDI QIDQ3877300

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Publication date: 1980

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

Full work available at URL: https://doi.org/10.1093/imamat/25.2.111

zbMATH Keywords

maximum principleflow in porous mediafree surfacepotential problemrectangular damsteady planeconvex free boundaryHopf principles

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

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Comparison of the single-phase and two-phase numerical model formulation for saturated-unsaturated groundwater flow ⋮ Convexity of the free boundary in a filtration problem

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