ON THE FLUID DYNAMICAL APPROXIMATION TO THE NONLINEAR KLEIN-GORDON EQUATION

doi:10.3934/dcds.2012.32.2233

Title:	ON THE FLUID DYNAMICAL APPROXIMATION TO THE NONLINEAR KLEIN-GORDON EQUATION
Authors:	Lin, Chi-Kun Wu, Kung-Chien 應用數學系數學建模與科學計算所(含中心) Department of Applied Mathematics Graduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics
Keywords:	Nonlinear Klein-Gordon equation;nonlinear Schrodinger equation;semiclassical limit;nonrelativistic limit;nonrelativistic-semiclassical limit;compressible Euler equations;WKB approximation;wave map
Issue Date:	1-Jun-2012
Abstract:	We study the nonrelativistic, semiclassical and nonrelativistic-semiclassical limits of the (modulated) nonlinear Klein-Gordon equations from its hydrodynamical structure via WKB analysis. The nonrelativistic-semiclassical limit is proved rigorously by modulated energy method.
URI:	http://dx.doi.org/10.3934/dcds.2012.32.2233 http://hdl.handle.net/11536/15525
ISSN:	1078-0947
DOI:	10.3934/dcds.2012.32.2233
Journal:	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume:	32
Issue:	6
Begin Page:	2233
End Page:	2251
Appears in Collections:	Articles