Universität Augsburg
|
Professor Dr. Max von Renesse
Universität Leipzig
spricht am
Donnerstag, 5. Dezember 2019
um
15:45 Uhr
im
TUM, Boltzmann-3, Garching, Raum 03.08.011, Etage 3
über das Thema:
Abstract: |
The Dean-Kawasaki equation was proposed in physics model for colloids and glassy materials. Mathematically, it is a singular super critical stochastic PDE with multiplicative noise. We show that the equation has a remarkable rigidity in terms of well-posedness allowing for solutions in only discrete parameter regimes corresponding to the case of finite particle systems. We also present corrections to the SPDE allowing for a rich class of non trivial mathematically rigorous models with complex patterns to emerge. Our methods combine classical arguments from measure valued Markov processes as well as Dirichlet form theory in infinite dimensions. |
Hierzu ergeht herzliche Einladung. |