The  Weizmann  Institute  of  Science
                  Faculty of Mathematics and Computer Science
 
                 Mathematical Analysis and Applications Seminar
 
                     Lecture Hall, Room 1, Ziskind Building
                          on Thursday, April 25, 2013
                                  11:00 - noon
 
                           NOTE UNUSUAL DAY AND TIME
 
                                 Claude Bardos
                Universiy Denis Diderot, Laboratoire J.L. Lions
                       University Pierre and Marie Curie
 
                                 will speak on
 
                 Viscosity limit of solutions of Navier-Stokes
                       equations with rough initial data
 
Abstract:
De Lellis and Szekelyhidi introduced the notion of Wild Solutions of the Euler
equations and proved for some rough initial data the existence of an infinite
set of solutions which preserve or decay the energy. In some simple cases the
corresponding initial data are explicit. This give rise to the issue of the
characterization of physical solution as a viscosity limit. I intend to give
simple example (Kelvin Helmholtz initial data on a line or on a circle ) for
which the viscosity limit is such a selection principle.
 
In the presence of a boundary the problem is much more complicated but some
connection can be made with a well-known Kato criteria.
 
This is part of a joint program with Laszlo Szekelyhidi, Edriss Titi and Emile
Wiedeman.
 
---------------------------------------------------------
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Gizel Maimon   <gizel.maimon@weizmann.ac.il>