Agenda de la FDP

Séminaire d'Analyse

Le lundi à 10h30 - Salle 1180 (Bât E2)(Tours)
Responsable :
On nonlocal (and local) equations of porous medium type
Jorgen Endalwww
jeudi 19 septembre 2019 - 10h30 - Salle 1180 (Bât E2)(Tours)

Résumé :
We study uniqueness, existence, and properties of bounded
distributional (very weak) solutions of generalized porous medium type
equations. Here the diffusion operator can be any symmetric (possibly
$x$-dependent) degenerate elliptic operator including the Laplacian, the
fractional Laplacian, and numerical discretizations of either. The
nonlinearity is only assumed to be continuous and nondecreasing. This
class of Cauchy problems include porous medium equations, fast diffusion
equations, and (one-phase) Stefan problems. We will also consider
numerical schemes (and simulations) of these equations.