Tel Aviv University Applied Mathematics Seminar Date: Tuesday May 28, 2013, 15:10 Place: Schreiber Bldg, Room 309 Speaker: Yanqiu Guo, Weizmann institute Title: Persistency of analyticity for nonlinear wave equations and the cubic Szego equation Abstract: Gevrey classes were introduced by Maurice Gevrey in 1918 to generalize real analytic functions. Functions of Gevrey classes can be characterized by an exponential decay of their Fourier coefficients. This characterization has been proved useful for studying analytic solutions of various nonlinear PDEs, since the work by Foias and Temam (1989) on the Navier-Stokes equations. We use this technique to investigate the persistency of spatial analyticity for nonlinear wave equations (joint work with Edriss S. Titi), and the cubic Szego equation (joint work with Patrick Gerard and Edriss S. Titi). An advantage of this method is that it provides a lower bound for the radius of the spatial analyticity of the solutions. Webpage of the applied mathematics seminar: <https://sites.google.com/site/tauamathseminar/> ______________________________________________________________________ Dr. Yoel Shkolnisky | Department of Applied Mathematics | School of Mathematical Sciences phone: 972-3-640-8705 | Tel Aviv University, fax : 972-3-640-9357 | Tel Aviv, 69978 Israel email: <yoelsh@post.tau.ac.il> | ______________________________________________________________________ --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Yoel Shkolnisky <yoelsh@post.tau.ac.il>