Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lin, Chi-Kun | en_US |
dc.contributor.author | Wu, Kung-Chien | en_US |
dc.date.accessioned | 2014-12-08T15:48:43Z | - |
dc.date.available | 2014-12-08T15:48:43Z | - |
dc.date.issued | 2010-08-01 | en_US |
dc.identifier.issn | 0003-9527 | en_US |
dc.identifier.uri | http://dx.doi.org/10.1007/s00205-010-0324-8 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/32388 | - |
dc.description.abstract | We establish the singular limits, including semiclassical, nonrelativistic and nonrelativistic-semiclassical limits, of the Cauchy problem for the modulated defocusing nonlinear Klein-Gordon equation. For the semiclassical limit, h -> 0, we show that the limit wave function of the modulated defocusing cubic nonlinear Klein-Gordon equation solves the relativistic wave map and the associated phase function satisfies a linear relativistic wave equation. The nonrelativistic limit, c -> infinity, of the modulated defocusing nonlinear Klein-Gordon equation is the defocusing nonlinear Schrodinger equation. The nonrelativistic-semiclassical limit, h -> 0, c = h (-alpha) -> infinity for some alpha > 0, of the modulated defocusing cubic nonlinear Klein-Gordon equation is the classical wave map for the limit wave function and a typical linear wave equation for the associated phase function. | en_US |
dc.language.iso | en_US | en_US |
dc.title | Singular Limits of the Klein-Gordon Equation | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1007/s00205-010-0324-8 | en_US |
dc.identifier.journal | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | en_US |
dc.citation.volume | 197 | en_US |
dc.citation.issue | 2 | en_US |
dc.citation.spage | 689 | en_US |
dc.citation.epage | 711 | en_US |
dc.contributor.department | 應用數學系 | zh_TW |
dc.contributor.department | 數學建模與科學計算所(含中心) | zh_TW |
dc.contributor.department | Department of Applied Mathematics | en_US |
dc.contributor.department | Graduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics | en_US |
dc.identifier.wosnumber | WOS:000279077600009 | - |
dc.citation.woscount | 5 | - |
Appears in Collections: | Articles |
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