Hydrodynamical Analogue of the Klein-Gordon Equation
林琦焜 教授交通大學 下午 2:00–2:50 鴻經館 107 室In this paper we consider the nonlinear relativistic wave equation,the modulated Klein-Gordon equation, and we obtain the connection between the nonlinear Schr"odinger equation, compressible Euler equations and the modulated Klein-Gordon equation. Indeed, we study the various singular limits of the modulated Klein-Gordon equations,including nonrelativistic, semiclassical and nonrelativistic-semiclassical limits, from its hydrodynamical structure.