Decay of Solutions to Nonlinear Parabolic Equations: Renormalization and Rigorous Results
نویسنده
چکیده
Scaling and renormalization group (RG) methods are used to study parabolic equations with a small nonlinear term and find the decay exponents. The determination of decay exponents is viewed as an asymptotically self similar process that facilitates an RG approach. These RG methods are extended to higher order in the small coefficient of the nonlinearity. The RG results are verified in some cases by rigorous proofs and other calculational methods.
منابع مشابه
Renormalization group methods for nonlinear parabolic equations
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.
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