Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Augsburger Mathematisches Kolloquium

 

Dr. Jonas Tölle
Universität Augsburg

 
spricht am
 
Dienstag, 21. November 2017
 
um
 
17:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Singular stochastic partial differential equations, variational convergence and ergodicity«

Abstract:
In this talk, we aim at giving an overview of recent development in the study of stochastic partial differential equations (SPDEs) of singular parabolic quasilinear type. More precisely, we shall consider infinite dimensional stochastic evolution equations governed by divergence form nonlinear partial differential operators which are perturbed by different types of Gaussian noise. We shall present results on stability of the dynamics under perturbations of parameters, passage from the nonlocal to the local problem or vanishing viscosity limits. For additive noise, being white in time and higher order regular in space, we prove the existence of an ergodic and thus unique invariant measure for the Markovian dynamics of the singular SPDE. The continuous parameter dependence of the invariant measure for the singular nonlocal and local p-Laplace equations for the parameter p∈[1,2] is proved.

Based on joint works with Ioana Ciotir (Rouen), Benjamin Gess (Leipzig and Bielefeld), Wei Liu (Xuzhou).


 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Dirk Blömker
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).



wwwadm@Math.Uni-Augsburg.DE,    Fr 13-Okt-2017 14:12:30 MESZ