arXiv:math/0512450 [math.AP]AbstractReferencesReviewsResources
Renormalization Group Analysis of Nonlinear Diffusion Equations With Time Dependent Coefficients: Analytical Results
Gastão A. Braga, Frederico Furtado, Jussara M. Moreira, Leonardo T. Rolla
Published 2005-12-19, updated 2016-09-04Version 3
We study the long-time asymptotics of a certain class of nonlinear diffusion equations with time-dependent diffusion coefficients which arise, for instance, in the study of transport by randomly fluctuating velocity fields. Our primary goal is to understand the interplay between anomalous diffusion and nonlinearity in determining the long-time behavior of solutions. The analysis employs the renormalization group method to establish the self-similarity and to uncover universality in the way solutions decay to zero.
Journal: Discrete and Continuous Dynamical Systems. Series B, v. 7, p. 699-715, 2007
Categories: math.AP
Keywords: nonlinear diffusion equations, time dependent coefficients, renormalization group analysis, analytical results, time-dependent diffusion coefficients
Tags: journal article
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