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Renormalization Group Analysis of Nonlinear Diffusion Equations with Time Dependent Coefficients: Analytical Results

journal contribution
posted on 01.06.2007, 00:00 by G. A. Braga, Fred Furtado, J. M. Moreira, L. T. Rolla
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.

History

ISO

eng

Language

English

Publisher

University of Wyoming. Libraries

Journal title

Discrete and Continuous Dynamical Systems-Series B

Collection

Faculty Publication - Department of Mathmatics & Statistics