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SUMMARY:Existence results in interfacial flows with kinetic undercooling r
 egularization in a time-dependent gap Hele-Shaw cell - Xie Xuming (Morgan 
 State University)
DTSTART:20191101T160000Z
DTEND:20191101T170000Z
UID:TALK133609@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Hele-Shaw cells where the top plate is lifted uniformly at a p
 rescribed speed and the bottom plate is fixed have been used to study inte
 rface related problems. Our talk focuses on an interface flow with kinetic
  undercooling regularization in a radial Hele-Shaw cell with a time depend
 ent gap.  We obtain the local existence of analytic solution of the moving
  boundary problem when the initial data is analytic. The methodology is to
  use complex analysis and reduce the free boundary problem to a Riemann-Hi
 lbert problem and an abstract Cauchy-Kovalevsky evolution problem.  A simi
 lar free boundary problem in multidimensional spaces is also studied and t
 he local existence of classical solutions can be obtained.
LOCATION:Seminar Room 1\, Newton Institute
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