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SUMMARY:Francisco Gancedo (University of Seville)
DTSTART:20210114T130000Z
DTEND:20210114T135000Z
DTSTAMP:20260423T035608Z
UID:IMS/74
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMS/74/">Two
  global-in-time results for Muskat</a>\nby Francisco Gancedo (University o
 f Seville) as part of PDE seminar via Zoom\n\n\nAbstract\nIn this talk we 
 consider the Muskat problem\, modeling the dynamics of two incompressible 
 immiscible fluids in porous media. First\, we consider fluids of different
  densities. This case has been extensively studied recently\, in particula
 r because its very interesting features. The fluids can be stable\, enter 
 into unstable regime and next to develop finite time singularities. We sho
 w that this scenario is not possible in 3D for arbitrary slope and small d
 ata\, providing global-in-time critical solutions. Second\, we deal with c
 apillarity forces with viscosity-density fluids. This case is fundamental 
 in order to understand fingering phenomena. For gravity unstable situation
 s\, we show that 2D bubbles exist for all time for initial data given by a
  wide balance between small norm\, density\, viscosity and surface tension
 .\n
LOCATION:https://researchseminars.org/talk/IMS/74/
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