Convergencia de soluciones de ecuaciones multidimensionales de difusión no lineal a soluciones de frente de onda
DOI:
https://doi.org/10.22199/S07160917.1988.0014.00003Keywords:
Ecuaciones no lineales, ondasAbstract
En este trabajo establecemos el análogo multidimensional de dos teoremas de convergencia de P. Fife y J. B. Mcleod para el problema a valor inicial
El primer resultado establece que una solución que se asemeja inicialmente a un frente de onda (“travelling front”) en alguna dirección, evolucionará uniformemente en tal frente de onda, cuando t ? + ? , en la misma dirección. El segundo resultado prueba que para condiciones iniciales apropiadas la solución evolucionará en una onda esférica con velocidad constante.
Para su demostración, se obtienen estimaciones a priori que corrigen las dadas por P. Fife [4].
References
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