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SUMMARY:Bogdan-Vasile Matioc (Universität Regensburg)
DTSTART:20220224T130000Z
DTEND:20220224T135000Z
DTSTAMP:20260423T035617Z
UID:IMS/90
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMS/90/">The
  two-phase quasi-stationary Stokes flow by capillarity in the plane</a>\nb
 y Bogdan-Vasile Matioc (Universität Regensburg) as part of PDE seminar vi
 a Zoom\n\n\nAbstract\nWe discuss a two-phase moving boundary problem that 
 describes the two-dimensional quasistationary Stokes flow of two fluids wi
 th different densities and viscosities that occupy the entire plane in the
  regime where surface tension effects are taken into account at the interf
 ace that separates the fluids. In this setting the classical methods of po
 tential theory can be used to transform the model into a nonlinear and non
 local evolution problem for the function that parameterizes the interface 
 between the fluids\, the nonlinearities being expressed by singular integr
 al operators. This problem is of parabolic type\, well-posed in all Sobole
 v spaces up to critical regularity\, and it features some parabolic smooth
 ing properties. Joint work with Georg Prokert.\n
LOCATION:https://researchseminars.org/talk/IMS/90/
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