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SUMMARY:The Verigin problem with phase transition [Lecture]
DTSTART:20261105T083000Z
DTEND:20261105T091500Z
DTSTAMP:20261101T232300Z
UID:indico-event-1709@math-events.uni-bonn.de
DESCRIPTION:Speakers: Alice Marveggio\n\nWe study the Verigin problem with
  phase transition\, a free-boundary problem describing a compressible two-
 phase flow in a porous medium. We first present a variational approach bas
 ed on the Wasserstein gradient-flow structure of the system. Through an im
 plicit time discretization scheme\, we construct distributional solutions 
 satisfying an optimal energy-dissipation inequality. We then introduce a n
 ovel phase-field model\, in which the sharp interface between the two phas
 es is replaced by a thin transition layer of width $\\varepsilon>0$. After
  establishing the existence of weak solutions\, we prove convergence to a 
 distributional solution of the Verigin problem with phase transition in th
 e sharp-interface limit $\\varepsilon\\to0$.\n\nhttps://math-events.uni-bo
 nn.de/event/1709/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1709/
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