On the free boundaries in a nonlinear diffusion-convection problem with positive initial conditions

DOI10.1016/0362-546X(91)90027-XzbMath0738.35031MaRDI QIDQ3970958

Robert Kersner, Francesco Nicolosi

Publication date: 25 June 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

weak solutionspositivityinstantaneous shrinkingdeferred shrinking

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Free boundary problems for PDEs (35R35) Initial value problems for higher-order parabolic equations (35K30)

Cites Work

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• Thermal waves in an absorbing and convecting medium
• On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium
• The occurrence of interfaces in nonlinear diffusion-advection processes
• Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities
• Regularity properties of flows through porous media: The interface
• Instantaneous Shrinking in Nonlinear Diffusion-Convection
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations

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