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Mathematical Physics Seminar
Full Regularity for the Dissipative Quasi-Geostrophic Equations
We will present some recent developments in the quasi-geostrophic equations. We show that local solutions to critical and super-critical dissipative quasi-geostrophic equations have higher regularity, although one gets lower derivative in the dissipation term than in the flow term. As an application, a global well-posedness result is obtained for 2D critical dissipative quasi-geostrophic equations with periodic or non-periodic initial data in the critical H^1 space. Part of the talk is based on joint work with Dapeng Du.
Date & Time
February 21, 2007 | 2:00pm – 3:00pm
Location
S-101Speakers
Affiliation
University of Chicago and Member, School of Mathematics