Existence and uniqueness of very singular solution of a degenerate parabolic equation with nonlinear convection

DOI10.1155/2009/415709zbMath1179.35175OpenAlexW1976276680WikidataQ59248828 ScholiaQ59248828MaRDI QIDQ1032978

Jian Wang, Zhong Bo Fang, Da-Xiong Piao

Publication date: 6 November 2009

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45609

zbMATH Keywords

one space dimensionnonlinear convection term

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Self-similar solutions to PDEs (35C06)

Cites Work

• The asymptotic behaviour of solutions of a quasilinear degenerate parabolic equation
• A very singular solution of the heat equation with absorption
• Existence and uniqueness on the very singular solution of the porous media equation with absorption
• Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\)
• Evolution of interfaces and explicit asymptotics at infinity for the fast diffusion equation with absorption
• A Very Singular Solution of a Quasilinear Degenerate Diffusion Equation With Absorption
• A very singular solution and other self-similar solutions of the heat equation with convection
• Interface Development and Local Solutions to Reaction-Diffusion Equations
• Large time behavior of solutions of a dissipative semilnear heat equation
• Asymptotic behaviour of solutions of a degenerate parabolic equation

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