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

Chi Kun Lin*, Kung Chien Wu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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 languageEnglish
Pages (from-to)2233-2251
Number of pages19
JournalDiscrete and Continuous Dynamical Systems
Issue number6
Publication statusPublished - Jun 2012
Externally publishedYes


  • Compressible Euler equations
  • Nonlinear Klein-Gordon equation
  • Nonlinear Schrödinger equation
  • Nonrelativistic limit
  • Nonrelativistic-semiclassical limit
  • Semiclassical limit
  • WKB approximation
  • Wave map

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