On the long time behaviour of solutions to nonlinear diffusion equations on \(\mathbb{R}^ n\)

DOI10.1007/PL00001410zbMath0872.35014OpenAlexW2084606612MaRDI QIDQ676735

Eduard Feireisl

Publication date: 20 May 1997

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001410

zbMATH Keywords

concentrated compactnesssoliton like solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)

Related Items (12)

CONVERGENCE TO EQUILIBRIUM FOR SEMILINEAR PARABOLIC PROBLEMS IN ⋮ Threshold behavior and non-quasiconvergent solutions with localized initial data for bistable reaction-diffusion equations ⋮ Dynamics of nonnegative solutions of one-dimensional reaction–diffusion equations with localized initial data. Part I: A general quasiconvergence theorem and its consequences ⋮ Threshold phenomena for symmetric decreasing solutions of reaction-diffusion equations ⋮ Large-time behavior of solutions of parabolic equations on the real line with convergent initial data. III: Unstable limit at infinity ⋮ Large-time behavior of solutions of parabolic equations on the real line with convergent initial data ⋮ Existence, multiplicity, shape and attractivity of heterogeneous steady states for bistable reaction-diffusion equations in the plane ⋮ Large-time behavior of solutions of parabolic equations on the real line with convergent initial data. II: Equal limits at infinity ⋮ Threshold phenomena for symmetric-decreasing radial solutions of reaction-diffusion equations ⋮ On asymptotic isotropy for a hydrodynamic model of liquid crystals ⋮ Dynamics of time-periodic reaction-diffusion equations with compact initial support on \(\mathbb{R}\) ⋮ Examples of bounded solutions with nonstationary limit profiles for semilinear heat equations on \({\mathbb{R}}\)

This page was built for publication: On the long time behaviour of solutions to nonlinear diffusion equations on \(\mathbb{R}^ n\)