From: BrendaSueCook (brenda@math.missouri.edu)
Date: Wed Apr 25 2007 - 15:31:57 CDT
Dynamical System Seminar
Jiahong Wu
Department of Mathematics
Oklahoma State University
The 2D surface quasi-geostrophic equation
Abstract: This talk focuses on the global existence and uniqueness of
solutions to the 2D dissipative surface quasi-geostrophic (QG) equation.
We first summarize some of the recent progress made by Kiselev, Nazarov
and Volberg and by Caffarelli and Vasseur for the critical case. We then
detail the major results of two recent manuscripts by Constantin and Wu
on the supercritical case. In particular, the H\"{o}lder continuity of
weak solutions and the regularity of H\"{o}lder continuous solutions
will be described. If time permits, we will also show some recent
numerical results on the inviscid QG equation from a joint work with
Constantin, Lai and Tseng.
Thursday, May 3, 2007
312 Math Sci
11:00-11:50 p.m.
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