Self-similar singular solution of fast diffusion equation with gradient absorption terms

DOI10.1007/s10483-007-0113-1zbMath1231.35089OpenAlexW2021193021MaRDI QIDQ940193

Mingxin Wang, Pei-hu Shi

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-0113-1

zbMATH Keywords

fast diffusion equationgradient absorptionvery singular solutionself-similar singular solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Cites Work

• A very singular solution for the porous media equation \(u_ t=\Delta(u^ m)-u^ p\) when \(0<m<1\)
• The self-similar profiles of generalized KPZ equation.
• Nonlinear parabolic equations involving measures as initial conditions
• A very singular solution of the heat equation with absorption
• A porous media equation with absorption. I: Long time behaviour
• Asymptotic behaviour of solutions of some semilinear parabolic problems
• Singular solutions of some nonlinear parabolic equations
• Self-similar singular solutions of a \(p\)-Laplacian evolution equation with absorption
• Very singular solutions to a nonlinear parabolic equation with absorption. I. Existence
• Dynamic Scaling of Growing Interfaces
• A Very Singular Solution of a Quasilinear Degenerate Diffusion Equation With Absorption
• Long Time Behavior of Solutions to P-Laplacian Equation with Absorption
• Large time behavior of solutions of a dissipative semilnear heat equation

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