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>