Conference Agenda
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Daily Overview |
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Gvp3: Geometric variational problems Location: A704 Session Chair: Fabian Rupp Session Chair: Christian Scharrer | |
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The Verigin problem with phase transition as a gradient flow 1: TU Wien, Austria; 2: Heidelberg University, Germany; 3: Bonn University, Germany In this talk, we study the modeling of a compressible two-phase flow in a porous medium, known as the Verigin problem with phase transition. This evolution can be regarded as a gradient flow with respect to the 2-Wasserstein distance of a suit- able energy. Our aim is to construct weak solutions of the underlying PDE using the minimizing movement scheme, with the Wasserstein distance as dissipation. We show that, in the limit as the time step tends to zero, we obtain distributional solutions that satisfy an optimal energy-dissipation inequality. This talk is based on joint work with Tim Laux and Alice Marveggio. | |
