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UID:news1324@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20220409T172448
DTSTART;TZID=Europe/Zurich:20220427T141500
SUMMARY:Seminar Analysis and Mathematical Physics: Jaemin Park (University 
 of Barcelona)
DESCRIPTION:In this talk\, we study stationary solutions to the 2D incompre
 ssible Euler equations in the whole plane. It is well-known that any radia
 l vorticity is stationary. For compactly supported vorticity\, it is more 
 difficult to see whether a stationary solution has to be radial. In the ca
 se where the vorticity is non-negative\, it has been shown that any statio
 nary solution has be radial. By allowing the vorticity to change the sign\
 , we prove that there exist non-radial stationary patch-type solutions. We
  construct patch-type solutions whose kinetic energy is infinite or finite
 . For the finite energy case\, it turns out that a construction of a stati
 onary solution with compactly supported velocity is possible.
X-ALT-DESC:<p>In this talk\, we study stationary solutions to the 2D incomp
 ressible Euler equations in the whole plane. It is well-known that any rad
 ial vorticity is stationary. For compactly supported vorticity\, it is mor
 e difficult to see whether a stationary solution has to be radial. In the 
 case where the vorticity is non-negative\, it has been shown that any stat
 ionary solution has be radial. By allowing the vorticity to change the sig
 n\, we prove that there exist non-radial stationary patch-type solutions. 
 We construct patch-type solutions whose kinetic energy is infinite or fini
 te. For the finite energy case\, it turns out that a construction of a sta
 tionary solution with compactly supported velocity is possible.</p>
DTEND;TZID=Europe/Zurich:20220427T160000
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