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Universität Augsburg
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Universität Augsburg
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Professor Dr. Yann Brenier
CNRS au DMA
spricht am
Donnerstag, 25. Juli 2019
um
17:15 Uhr
im
TUM, Boltzmann-3, Garching, Raum 03.08.011, Etage 3
über das Thema:
| Abstract: |
| The Muskat model, which describes the filtration of an incompressible imhomogeneous fluid in a porous medium, has played a crucial role in both optimal transport and convex integration theories. The fast development of microstructures in the unstable regime where the heavy component of the fluid is above the light one is a challenge at both computational and analytic levels. I will first explain how a very simple and computationally effective time discrete version of the Muskat model can be designed in terms of polar factorization of maps. Then I will discuss various possible formulations (multiphasic, dissipative...) of this model. In particular I will explain the local well-posedness of the multiphasic version in contrast with what happens for the Euler equations with a similar formulation. |
| Hierzu ergeht herzliche Einladung. |