University of Toronto
                  PDE/Applied Math/Analysis Seminar
                    Friday 8 December, 12:10-1:00pm
                          6183 Bahen Center      



SPEAKER:  Gigliola Staffilani

TITLE:    Regularity of solutions to the Navier-Stokes equations evolving 
	  from small data in BMO^{-1}

ABSTRACT: In this talk I will present the main ideas involved in the
	  proof of the regularity of small $BMO^{-1} $ solutions for Navier
	  Stokes equations which existence was proved in 2001 by Koch and
	  Tataru. This result generalize some recent work of Miura and Sawada
	  since we don't just measure smoothness with respect to the 
	  $L^\infty$ norm, but also with respect to a Carleson type norm 
	  already introduced by Koch and Tataru. As a consequence we also
	  prove the existence and smoothness of small (in the $BMO^{-1} $ 
	  sense) self similar solutions for the Navier-Stokes equation.

	  This talk is based on joint work with Pierre Germain and Natasa
	  Pavlovic.


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University of Toronto PDE/Applied Math/Analysis Seminar 
http://www.math.toronto.edu/appmath/

2006-2007 organizers:
          Pieter Blue           pblue@ math.toronto.edu
          Almut Burchard        almut@ math.toronto.edu
          Robert McCann		mccann@ math.toronto.edu
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