On the fluid dynamical approximation to the nonlinear Klein-Gordon equation

Chi Kun Lin; Kung Chien Wu

doi:10.3934/dcds.2012.32.2233

On the fluid dynamical approximation to the nonlinear Klein-Gordon equation

Chi Kun Lin, Kung Chien Wu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	2233-2251
Number of pages	19
Journal	Discrete and Continuous Dynamical Systems
Volume	32
Issue number	6
DOIs	https://doi.org/10.3934/dcds.2012.32.2233
Publication status	Published - 2012 Jun

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcds.2012.32.2233

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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.",

author = "Lin, {Chi Kun} and Wu, {Kung Chien}",

year = "2012",

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AB - 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.

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JO - Discrete and Continuous Dynamical Systems

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On the fluid dynamical approximation to the nonlinear Klein-Gordon equation

Abstract

All Science Journal Classification (ASJC) codes

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