A dynamical system approach to the self-similar large time behavior in scalar convection-diffusion equations

DOI10.1006/jdeq.1994.1023zbMath0802.35074OpenAlexW2081202568MaRDI QIDQ1320273

Enrique Zuazua

Publication date: 19 December 1994

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

Full work available at URL: https://doi.org/10.1006/jdeq.1994.1023

zbMATH Keywords

weighted Sobolev spacesconvection-diffusion equation in \(\mathbb{R}^ N\)Lyapunov type arguments

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)

Related Items (14)

Asymptotics for critical pseudodifferential equations on a half-line ⋮ Asymptotics in the critical case for Whitham type equations ⋮ Large time behaviour of solutions of a fast diffusion equation with source ⋮ Existence of weak solutions to a convection-diffusion equation in amalgam spaces ⋮ Global existence and gradient estimates for the quasilinear parabolic equations of \(m\)-Laplacian type with a nonlinear convection term ⋮ On the Cauchy problem for nonlinear dissipative systems ⋮ Global behavior for Whitham type equations on a finite interval ⋮ Asymptotics for a Sobolev type equation with a critical nonlinearity ⋮ Asymptotic agreement of moments and higher order contraction in the Burgers equation ⋮ FRACTIONAL LANDAU–GINZBURG EQUATIONS ON A SEGMENT ⋮ Asymptotics for the Korteweg-de Vries-Burgers equation ⋮ Existence of weak solutions to a convection-diffusion equation in a uniformly local Lebesgue space ⋮ Diffusion approximation for self-similarity of stochastic advection in Burgers' equation ⋮ Scaling variables and asymptotic expansions in damped wave equations

This page was built for publication: A dynamical system approach to the self-similar large time behavior in scalar convection-diffusion equations