A very singular solution for the slow diffusion equation with nonlinear convection

DOI10.1016/j.jmaa.2007.04.057zbMath1136.34005OpenAlexW2029968935MaRDI QIDQ2473833

Zhong Bo Fang, Minkyu Kwak

Publication date: 5 March 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.04.057

zbMATH Keywords

asymptotic behaviornonlinear diffusion equationvery singular solution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34)

Related Items (1)

Slow diffusion by Markov random flights

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Complete classification of shape functions of self-similar solutions
• Exact solutions for vertical drainage and redistribution in soils
• Flow through a porous column
• A very singular solution of the heat equation with absorption
• On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium
• Existence and uniqueness on the very singular solution of the porous media equation with absorption
• Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\)
• A porous media equation with absorption. I: Long time behaviour
• A porous media equation with absorption. II: Uniqueness of the very singular solution
• Group classification and symmetry reductions of the nonlinear diffusion- convection equation \(u_ t=(D(u)u_ x)_ x-K'(u)u_ x\)
• A very singular solution of the porous media equation with absorption
• Classical symmetry reductions of nonlinear diffusion-convection equations
• On very singular self-similar solutions for the porous media equation with absorption
• Long-time behaviour for porous medium equations with convection
• A semilinear heat equation with singular initial data
• Asymptotic behaviour in convection–diffusion processes
• Hardy Spaces and the Two-Dimensional Euler Equations with Nonnegative Vorticity
• A very singular solution and other self-similar solutions of the heat equation with convection
• Self-similar solutions of convection-diffusion processes
• A Neumann problem for a convection-diffusion equation on the half-line
• Large time behavior of solutions of a dissipative semilnear heat equation

This page was built for publication: A very singular solution for the slow diffusion equation with nonlinear convection