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SUMMARY:Liouville type theorems for fluid equations - Simon Schulz (Univer
 sity of Cambridge)
DTSTART:20200205T160000Z
DTEND:20200205T170000Z
UID:TALK139078@talks.cam.ac.uk
CONTACT:Renato Velozo
DESCRIPTION:What boundedness assumptions on the solution of an equation\nc
 ause it to vanish everywhere? This is the question that a Liouville\ntype 
 theorem seeks to answer. For reasons that will become apparent\,\nthese re
 sults are intimately related to problems of regularity and\nuniqueness. In
  this talk\, we will consider Liouville type theorems for\nequations arisi
 ng in the study of incompressible fluid dynamics. In\nparticular\, we will
  give a criterion for smooth solutions of the\nstationary equations of mag
 neto-hydrodynamics (MHD) to be identically\nzero. The result in question i
 s a refinement of previous ones\, all of\nwhich systematically required st
 ronger integrability and the additional\nassumption of finite Dirichlet in
 tegral\, and builds on the earlier works of Seregin\, Chae and Weng\, and 
 Chae and Wolf.\n
LOCATION:MR14\, Centre for Mathematical Sciences
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