The interface between regions where u<0 andu > 0in the porous medium equation

DOI10.1080/00036819108840018zbMath0675.76094OpenAlexW2006760098MaRDI QIDQ3830746

Michiel Bertsch, Danielle Hilhorst

Publication date: 1991

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819108840018

zbMATH Keywords

level linesmechanical dispersiona priori estimates for solutions of regularized problemsmonotonicity hypothesesporous medium equation with sign changes

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05)

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Cites Work

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• A necessary and sufficient condition for the existence of an interface in flows through porous media
• On a Class of Similarity Solutions of the Equation u_t(|u|^m−1u_x)_x with m −1
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Regularity of the Free Boundary for the One-Dimensional Flow of Gas in a Porous Medium
• Hölder Continuity of Solutions of Parabolic Equations
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