NYU-ECNU Institute of Mathematical
Sciences at NYU Shanghai
PDE/ANALYSIS SEMINAR
ABSTRACT OF THE TALK
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 Szeg˝o 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.
BIOGRAPHY
Dr. Yanqiu Guo obtained Ph.D. in mathematics from the University of Nebraska-Lincoln (USA) in 2012. Currently, Dr. Guo is a postdoctoral fellow at the Weizmann Institute of Science in Israel.
