Analysis Seminar

Title: Revisiting endpoint Serrin's criterion for the Navier-Stokes equation through profile decompositions
Speaker: Fabrice Planchon
Speaker Info: Paris Nord
Brief Description:
Special Note: Second talk of doubleheader

Recently, Escauriaza-Seregin-Sverak proved that for weak solutions to the incompressible Navier-Stokes equation, uniform (in time) boundedness of the spatial L3 norm prevents blow-up. We revisit this result in the framework of L3 mild solutions (à la Kato), following the Kenig-Merle roadmap for dispersive equations (extraction of a minimal blow-up solution through suitable profile decompositions, compactness at blow-up time and finally, like in E-S-S, backward uniqueness which precludes existence of such a critical solution). This is joint work with Isabelle Gallagher and Gabriel Koch.
Date: Monday, December 6, 2010
Time: 5:00pm
Where: Lunt 105
Contact Person: Prof. Jared Wunsch
Contact email: jwunsch@math.northwestern.edu
Contact Phone: 847-491-5580
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