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Randolph E. Bank
Philip E. Gill
Michael Holst

Administrative Contact:
Jennifer Trefftzs

Office: AP&M 7409
Phone: (858)534-9056
Fax: (858)534-5273
E-mail: jtrefftzs@ucsd.edu
Conditional regularity for solutions of the Navier-Stokes equations

Igor Kukavica
Mathematics, USC


We consider sufficient conditions for regularityof Leray-Hopf solutions of the Navier-Stokes equation. By aresult of Neustupa and Panel, a Leray-Hopf weak solution isregular provided a single component of the velocity isbounded. In this talk we will survey existing and presentnew results on one component and one directionregularity. We will also show global regularity for a classof solutions of the Navier-Stokes equation in thindomains. This is a joint work with M. Ziane.

Thursday, January 11, 2007
11:00AM AP&M 6402