Universal self-similarity of porous media equation with absorption: the critical exponent case.

DOI10.1016/j.jde.2003.10.022zbMath1058.35130OpenAlexW2021689540MaRDI QIDQ1428647

Xu-Dong Liu, Yuan-wei Qi

Publication date: 29 March 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2003.10.022

zbMATH Keywords

self-similar solutionslarge time behaviorexact spatio-temporal profile

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Related Items

Large time behavior for the fast diffusion equation with critical absorption, Renormalization group analysis of nonlinear diffusion equations with time dependent coefficients and marginal perturbations, Numerical Renormalization Group Algorithms for Self-Similar Asymptotics of Partial Differential Equations

Cites Work

• Large time behaviour of solutions of the porous media equation with absorption
• Large time behavior of the solutions of a semilinear parabolic equation in \(\mathbb R^ n\)
• A boundary modulus of continuity for a class of singular parabolic equations
• A very singular solution of the heat equation with absorption
• Asymptotic behaviour of nonlinear parabolic equations with critical exponents. A dynamical systems approach
• Asymptotic behaviour of solutions of some semilinear parabolic problems
• Global large time self-similarity of a thermal-diffusive combustion system with critical nonlinearity
• ON ASYMPTOTIC “EIGENFUNCTIONS” OF THE CAUCHY PROBLEM FOR A NONLINEAR PARABOLIC EQUATION
• The Asymptotic Behavior of Gas in an n-Dimensional Porous Medium
• Large time behaviour of solutions of the porous media equation with absorption: the fast diffusion case
• О Некоторых свойствах обобщенных решений квазилинейных вырождающихся параболических уравнений
• Renormalization group and asymptotics of solutions of nonlinear parabolic equations
• Large time behavior of solutions of a dissipative semilnear heat equation
• Universality in blow-up for nonlinear heat equations
• Unnamed Item
• Unnamed Item
• Unnamed Item