Renormalization group methods for nonlinear parabolic equations

ABSTRACT.Renormalization group (RG) methods are described for determining the key exponents related to the decay of solutions to nonlinear parabolic differential equations. Higher order (in the small coefficient of the nonlinearity) methods are developed. Exact solutions and theorems in some special cases confirm the RG results. Keywords. Renormalization group, nonlinear parabolic equations, decay of solutions, asymptotic analysis, asymptotic self-similarity

• Type: Journal
• Year: 2004
• Where: APPML
• Authors: H. Merdan, G. Caginalp
• Keywords: APPML 2004, Asymptotic Self-similarity, Key Exponents, Nonlinear Parabolic Equations