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SUMMARY:Gabriele Sbaiz (University of Trieste)
DTSTART:20241209T144000Z
DTEND:20241209T161000Z
DTSTAMP:20260405T175234Z
UID:NSCM/158
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/158/">F
 ast rotation and inviscid limits for the SQG equation with general ill-pre
 pared initial data</a>\nby Gabriele Sbaiz (University of Trieste) as part 
 of Nečas Seminar on Continuum Mechanics\n\nLecture held in Room K3\,  Fac
 ulty of Mathematics and Physics\, Charles University\, Sokolovská 83  Pra
 gue 8..\n\nAbstract\nIn the talk\, we study the fast rotation and inviscid
  limits for the 2-D dissipative surface quasi-\ngeostrophic equation with 
 a dispersive forcing term\, in the domain Ω = T1 × R. In the case\nwhen 
 we perform the fast rotation limit (keeping the viscosity fixed)\, in the 
 context of general\nill-prepared initial data\, we prove that the limit dy
 namics is described by a linear equation with\nparabolic structure. Conver
 sely\, performing the combined fast rotation and inviscid limits\, we\nsho
 w that the means of the target initial datum ϑ0 are conserved along the m
 otion. The proof\nof the convergence is based on a compensated compactness
  argument which allows\, on the one\nhand\, to get compactness properties 
 for suitable quantities hidden in the wave system and\, on\nthe other hand
 \, to exclude the oscillatory part of waves at the limit.\n
LOCATION:https://researchseminars.org/talk/NSCM/158/
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