[CvGmt News] Seminari Calcolo delle Variazioni
alberti at mail.dm.unipi.it
alberti at mail.dm.unipi.it
Mon Feb 28 15:17:06 CET 2005
The Navier-Stokes equation for viscous fluids : an introduction to the basic regularity results
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Seminari di calcolo delle variazioni
when: Wednesday, March 2, at 5.30 pm
where: Dipartimento di Matematica, sala delle riunioni
speaker: Didier Smets (Paris VI and Centro E. De Giorgi)
title: The Navier-Stokes equation for viscous fluids : an introduction
to the basic regularity results
abstract: We will try to present a self-contained introduction to some
basic regularity results in the mathematical treatment of the
Navier-Stokes equations. These include:
1) the local well-posedness in spaces of regular functions (a fixed
point argument after some easy kernel estimates);
2) the global existence of weak solutions (after Jean Leray 1934 Acta
paper);
3) the space-time size estimate on possible singularities (after
Caffarelli-Kohn-Nirenberg 1984 CPAM paper);
4) (possibly) some recent results of Escauriaza-Seregin-Sverak on the
blow-up of the spatial L3-norm on a singularity.
Reference: http://www.dm.unipi.it/~alberti/files/altrepagine/SeminarioCVGMT/home.html
You find this news in the cvgmt preprint server: http://cvgmt.sns.it/news/20050302/
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