Barenblatt profiles for a nonlocal porous media equation
Résumé
We study a generalization of the porous medium equation involving nonlocal terms. More precisely, explicit self-similar solutions with compact support generalizing the Barenblatt solutions are constructed. We also present a formal argument to get the $L^p$ decay of weak solutions of the corresponding Cauchy problem.
Origine : Fichiers produits par l'(les) auteur(s)