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Universität Augsburg
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Universität Augsburg
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Dr. Clément Cancès
Université Lille 1 & CNRS
spricht am
Donnerstag, 6. Dezember 2018
um
15:45 Uhr
im
TUM, Boltzmann-3, Garching, Raum 03.08.011, Etage 3
über das Thema:
| Abstract: |
| We consider a thin film approximation for two-phase porous media that is derived thanks to Dupuit’s approximation. The model then boils down to a degenerate cross diffusion system that can be seen as a generalisation of the porous medium equation. This system can be interpreted as the Wasserstein gradient flow of some energy. The solutions converge as time goes to infinity towards some self similar solutions, that can correspond to minimizers of some modified energy after proper rescaling. The shape of these minimizers strongly depends on the parameter range. Finally, we study numerically the convergence rate as time goes to infinity thanks to an energy diminishing finite volume scheme. (joint work with A. Ait Hammou Oulhaj, C. Chainais-Hillairet and P. Laurençot) |
| Hierzu ergeht herzliche Einladung. |