Hydrodynamic limits of the nonlinear Klein-Gordon equation

doi:10.1016/j.matpur.2012.02.002

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DC Field	Value	Language
dc.contributor.author	Lin, Chi-Kun	en_US
dc.contributor.author	Wu, Kung-Chien	en_US
dc.date.accessioned	2014-12-08T15:24:16Z	-
dc.date.available	2014-12-08T15:24:16Z	-
dc.date.issued	2012-09-01	en_US
dc.identifier.issn	0021-7824	en_US
dc.identifier.uri	http://dx.doi.org/10.1016/j.matpur.2012.02.002	en_US
dc.identifier.uri	http://hdl.handle.net/11536/16864	-
dc.description.abstract	We perform the mathematical derivation of the compressible and incompressible Euler equations from the modulated nonlinear Klein-Gordon equation. Before the formation of singularities in the limit system, the nonrelativistic-semiclassical limit is shown to be the compressible Euler equations. If we further rescale the time variable, then in the semiclassical limit (the light speed kept fixed), the incompressible Euler equations are recovered. The proof involves the modulated energy introduced by Brenier (2000) [1]. (C) 2012 Elsevier Masson SAS. All rights reserved.	en_US
dc.language.iso	en_US	en_US
dc.title	Hydrodynamic limits of the nonlinear Klein-Gordon equation	en_US
dc.type	Article	en_US
dc.identifier.doi	10.1016/j.matpur.2012.02.002	en_US
dc.identifier.journal	JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES	en_US
dc.citation.volume	98	en_US
dc.citation.issue	3	en_US
dc.citation.spage	328	en_US
dc.citation.epage	345	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:000308853700004	-
dc.citation.woscount	2	-
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