Speaker：吕勇教授，南开大学陈省身数学研究所

Title: Stability analysis in geometric optics and non-relativistic limit of Klein-Gorodon equations

Time：2016-12-22, 11:00-12:00

Venue: Room 316 of Environmental Building, Renmin University

Abstract: The Klein-Gordon equation is a relativistic form of the Schrödinger equation. 
In the non-relativistic limit (as the speed of light goes to infinity) of Klein-Gordon
equations, one derives, at least formally, Schrödinger equations.  We find
a strong connection between the stability analysis in geometric optics and
non-relativistic limit of Klein-Gorodon equations. By employing the techniques
in geometric optics, we obtain the optimal convergence rates. Moreover, for
quadratic nonlinearities, we show the long time approximation of Klein-Gordon
equations by Schrödinger equations in the non-relativistic limit regime.