Loading...
Renormalization Group Analysis of Nonlinear Diffusion Equations with Time Dependent Coefficients: Analytical Results
Braga, G. A. Furtado, Fred Moreira, J. M. Rolla, L. T.
Braga, G. A.
Furtado, Fred
Moreira, J. M.
Rolla, L. T.
Abstract
Description
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.
Date
2007-06-01
Journal Title
Journal ISSN
Volume Title
Publisher
University of Wyoming. Libraries
Research Projects
Organizational Units
Journal Issue
Keywords
renormalization group,partial differential equations,multiple scale problems,asymptotic behavior,Mathematics