Nonlocal porous medium equation: Barenblatt profiles and other weak solutionsReportar como inadecuado




Nonlocal porous medium equation: Barenblatt profiles and other weak solutions - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 Instytut Matematyczny 2 LAMA - Laboratoire d-Analyse et de Mathématiques Appliquées

Abstract : A degenerate nonlinear nonlocal evolution equation is considered; it can be understood as a porous medium equation whose pressure law is nonlinear and nonlocal. We show the existence of sign changing weak solutions to the corresponding Cauchy problem. Moreover, we construct explicit compactly supported self-similar solutions which generalize Barenblatt profiles - the well-known solutions of the classical porous medium equation.

Keywords : porous medium equation nonlocal equation hypercontractivity self-similar solutions





Autor: Piotr Biler - Cyril Imbert - Grzegorz Karch -

Fuente: https://hal.archives-ouvertes.fr/



DESCARGAR PDF




Documentos relacionados