American Institute of Mathematical Sciences

2005, 2005(Special): 738-745. doi: 10.3934/proc.2005.2005.738

Anomalous exponents and RG for nonlinear diffusion equations

 1 Department of Mathematics, University of Central Florida, Orlando, Fl 32816

Received  September 2004 Revised  May 2005 Published  September 2005

In this paper, we discuss how to combine Renormalization Group Methods (RG) and classical PDE techniques to study nonlinear diffusion equations and systems with critical nonlinearity. In particular, we demonstrate, using several examples, the successful application of RG, when sharp a priori estimates are derived, in showing universal global dynamics involving anomalous exponents for nonlinear systems in $R^n$.
Citation: Yuanwei Qi. Anomalous exponents and RG for nonlinear diffusion equations. Conference Publications, 2005, 2005 (Special) : 738-745. doi: 10.3934/proc.2005.2005.738
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