Convexity of the free boundary in a filtration problem

DOI10.1016/0022-0396(81)90032-2zbMath0456.76082OpenAlexW2067302606MaRDI QIDQ1150513

Fabio Gastaldi, Paolo Boieri

Publication date: 1981

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90032-2

zbMATH Keywords

filtrationhodograph methodconvexity of free boundary

Mathematics Subject Classification ID

Variational inequalities (49J40) Flows in porous media; filtration; seepage (76S05) Variational principles of physics (49S05)

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Cites Work

• The free boundary for a fourth order variational inequality
• Two dimensional variational problems with thin obstacles
• Free boundary problems in the theory of fluid flow through porous media: Existence and uniqueness theorems
• The fluid flow through porous media. Regularity of the free surface
• Convexity of the free boundary in the Stefan problem and in the dam problem
• The regularity of free boundaries in higher dimensions
• On the coincidence set in variational inequalities
• Further regularity for the signorini problem
• A Proof of the Convexity of the Free Boundary for Porous Flow Through a Rectangular Dam Using the Maximum Principle
• Strömungen durch inhomogene poröse Medien mit freiem Rand.
• Variational inequalities
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