| Autor: |
Braga, Gastao A., Furtado, Frederico, Moreira, Jussara M., Rolla, Leonardo T. |
| Rok vydání: |
2009 |
| Předmět: |
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| Zdroj: |
SIAM Multiscale Modeling and Simulation, v. 1, n. 4, p. 630-644, 2003 |
| Druh dokumentu: |
Working Paper |
| Popis: |
In this paper we present an efficient numerical approach based on the Renormalization Group method for the computation of self-similar dynamics. The latter arise, for instance, as the long-time asymptotic behavior of solutions to nonlinear parabolic partial differential equations. We illustrate the approach with the verification of a conjecture about the long-time behavior of solutions to a certain class of nonlinear diffusion equations with periodic coefficients. This conjecture is based on a mixed argument involving ideas from homogenization theory and the Renormalization Group method. Our numerical approach provides a detailed picture of the asymptotics, including the determination of the effective or renormalized diffusion coefficient. |
| Databáze: |
arXiv |
| Externí odkaz: |
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