On the short-time behaviour of the free boundary of a porous medium equation

DOI10.1215/S0012-7094-97-08706-8zbMath0874.35091MaRDI QIDQ1355293

Manuel Elgueta, Carmen Cortázar, Manuel A. del Pino

Publication date: 10 November 1997

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

zbMATH Keywords

porous medium equationbehavior of the free boundary

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Free boundary problems for PDEs (35R35)

Related Items

Short time behavior near the boundary for the heat equation with a nonlinear boundary condition, Blow-up problem for semilinear heat equation with nonlinear nonlocal Neumann boundary condition, Unnamed Item, Global existence and blow-up of solutions of nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition, A reaction-diffusion system with nonlinear nonlocal boundary conditions, Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions, Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition, Semilinear heat equation with absorption and a nonlocal boundary condition, Blow-up problem for semilinear heat equation with absorption and a nonlocal boundary condition

Cites Work

• The Initial Trace of a Solution of the Porous Medium Equation
• How Long Does it Take for a Gas to Fill a Porous Container?
• Self-similarity in the post-focussing regime in porous medium flows
• The focusing problem for the radially symmetric porous medium equation
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