Long-time asymptotics via entropy methods for diffusion dominated equations

José A. Carrillo, Klemens Fellner

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Resum

Uniform convergence rates of diffusion dominated equations towards their asymptotic profiles are quantified via entropy methods for bounded integrable non-negative initial data with finite entropy. Convergence rates are sharp since they coincide with the purely diffusive ones. The approach is applied to both convection- and absorption-diffusion equations. Finally, Wasserstein metrics are used to control the expansion of the support for the convection-diffusion case. © 2005 - IOS Press and the authors. All rights reserved.
Idioma originalAnglès
Pàgines (de-a)29-54
RevistaAsymptotic Analysis
Volum42
Número1-2
Estat de la publicacióPublicada - 25 d’abr. 2005

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