Vorträge in der Woche 18.04.2016 bis 24.04.2016
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Dienstag, 19.04.2016: Singular limits for compressible fluids with stochastic forcing
Dominic Breit (Heriot-Watt University, Edinburgh)
Authors: Dominic Breit, Eduard Feireisl, Martina Hofmanova Abstract: I will present several new results on stochastic Navier-Stokes equations for compressible fluids. First, I will introduce the concept of "finite energy weak martingale solutions". These solutions are week in the analytical sense and in the probabilistic sense as well. After this I will have look at the asymptotic analysis, i.e. I will pass to zero with certain parameters in the model. If the Mach-number tends to zero the system converges to an incompressible stochastic Navier-Stokes system. If the viscosity tends to zero it converges to stochastic Euler equations - at least on a short time-interval. The last result is based on a relative energy inequality and also implies a weak-strong uniqueness theorem.
| Uhrzeit: | 16:15 |
| Ort: | C9G09 |
| Gruppe: | Oberseminar Numerik |
| Einladender: | Lubich, Prohl |
Donnerstag, 21.04.2016: Optimal transport for Lorentz-Finsler cost functions
Dr. Stefan Suhr (Départment mathématques et applications, ENS Paris und Université Paris Dauphine)
The problem of optimal transportation for relativistic cost functions has been introduced by Brenier and studied by Bertrand&Puel. In loose geometric terms the set of relativistic cost functions describes the case of Minkowski space, i.e. constant cone fields. Besides the recent work of Eckstein&Miller the possibility of a general Lorentzian theory of transportation has not been addressed. In this talk I will present a formulation of the problem for Lorentz-Finsler metrics. I will explain a criterion for the existence of "causal" couplings and show existence of solutions to the Kantorovich and Monge problem. If time permits I will address the regularity question of optimal couplings.
| Uhrzeit: | 14:15 |
| Ort: | N 14 |
| Gruppe: | Oberseminar Geometrische Analysis, Differentialgeometrie und Relativitätstheorie |
| Einladender: | Cederbaum, Huisken |