BEGIN:VCALENDAR
VERSION:2.0
CALSCALE:GREGORIAN
PRODID:iCalendar-Ruby
BEGIN:VEVENT
CATEGORIES:Lecture / Talk / Workshop
DESCRIPTION:Jaemin Park (Georgia Tech)\n\nAbstract:\nIn this talk\, I will
discuss whether all stationary/uniformly-rotating solutions of 2D Euler equ
ation must be radially symmetric\, if the vorticity is compactly supported.
For a stationary solution that is either smooth or of patch type\, we prov
e that if the vorticity does not change sign\, it must be radially symmetri
c up to a translation. It turns out that the fixed-sign condition is necess
ary for radial symmetry result: indeed\, we are able to find non-radial sig
n changing stationary solution with compact support. We have also obtained
some sharp criteria on symmetry for uniformly-rotating solutions for 2D Eul
er equation and the SQG equation. The symmetry results are mainly obtained
by calculus of variations and elliptic equation techniques\, and the constr
uction of non-radial solution is obtained from bifurcation theory. Part of
this talk is based on joint work with Javier Gomez-Serrano\, Jia Shi and Ya
o Yao.
DTEND:20201009T220000Z
DTSTAMP:20210119T180015Z
DTSTART:20201009T210000Z
LOCATION:
SEQUENCE:0
SUMMARY:Analysis and PDE Seminar: Radial symmetry in stationary/uniformly-r
otating solutions to 2D Euler equation
UID:tag:localist.com\,2008:EventInstance_34793357882922
URL:https://calendar.usc.edu/event/analysis_and_pde_seminar_radial_symmetry
_in_stationaryuniformly-rotating_solutions_to_2d_euler_equation
END:VEVENT
END:VCALENDAR