FACW_MATH_2007_19371179_Braga_Furtado_Moreira_Rolla.pdf (293.27 kB)
Download fileRenormalization Group Analysis of Nonlinear Diffusion Equations with Time Dependent Coefficients: Analytical Results
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posted on 2021-11-15, 21:40 authored by G. A. Braga, Fred Furtado, J. M. Moreira, L. T. RollaWe 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.
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University of Wyoming. LibrariesJournal title
Discrete and Continuous Dynamical Systems-Series BCollection
Faculty Publication - Department of Mathmatics & StatisticsDepartment
- Library Sciences - LIBS