ANELASTIC APPROXIMATION OF THE GROSS-PITAEVSKII EQUATION FOR GENERAL INITIAL DATA

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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	2017-04-21T06:49:27Z	-
dc.date.available	2017-04-21T06:49:27Z	-
dc.date.issued	2014	en_US
dc.identifier.isbn	978-1-60133-017-8	en_US
dc.identifier.uri	http://hdl.handle.net/11536/136242	-
dc.description.abstract	We perform a rigorous analysis of the anelastic approximation for the Gross-Pitaevskii equation with x-dependent chemical potential. For general initial data and periodic boundary condition, we show that as epsilon -> 0, equivalently the Planck constant tends to zero, the density vertical bar psi(epsilon)vertical bar(2) converges toward the chemical potential rho(0)(x) and the velocity field converges to the anelastic system.	en_US
dc.language.iso	en_US	en_US
dc.subject	Gross-Pitaevskii equation	en_US
dc.subject	singular limit	en_US
dc.subject	anelastic system	en_US
dc.title	ANELASTIC APPROXIMATION OF THE GROSS-PITAEVSKII EQUATION FOR GENERAL INITIAL DATA	en_US
dc.type	Proceedings Paper	en_US
dc.identifier.journal	HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS	en_US
dc.citation.volume	8	en_US
dc.citation.spage	1039	en_US
dc.citation.epage	1046	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:000383745000114	en_US
dc.citation.woscount	0	en_US
Appears in Collections:	Conferences Paper