On the zero-Rossby limit for the primitive equations of the atmosphere

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	On the zero-Rossby limit for the primitive equations of the atmosphere
	Chen, GQ ; Zhang, P
	2001-09-01
Source Publication	NONLINEARITY
ISSN	0951-7715
Volume	14 Issue:5 Pages:1279-1295
Abstract	The zero-Rossby limit for the primitive equations governing atmospheric motions is analysed. The limit is important in geophysics for large-scale models (cf Lions 1996 Int. Conf. LW 95 (Hamburg 1995) (Math. Res. vol 87) (Berlin: Akademie) pp 177-212) and is in the level of the zero relaxation limit for nonlinear partial differential equations (cf Chen et al 1994 Commun. Pure Appl. Math 47 787-830). It is proved that, if the initial data appropriately approximate data of geostrophic type, the corresponding solutions of the simplified primitive equations approximate the solutions of the quasigeostrophic equations with order E accuracy as the Rossby number E goes to zero.
Language	英语
WOS Research Area	Mathematics ; Physics
WOS Subject	Mathematics, Applied ; Physics, Mathematical
WOS ID	WOS:000171970400019
Publisher	IOP PUBLISHING LTD
Citation statistics	Cited Times:1[WOS] [WOS Record] [Related Records in WOS]
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/16067
Collection	中国科学院数学与系统科学研究院
Affiliation	1.Northwestern Univ, Dept Math, Evanston, IL 60208 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation GB/T 7714	Chen, GQ,Zhang, P. On the zero-Rossby limit for the primitive equations of the atmosphere[J]. NONLINEARITY,2001,14(5):1279-1295.
APA	Chen, GQ,&Zhang, P.(2001).On the zero-Rossby limit for the primitive equations of the atmosphere.NONLINEARITY,14(5),1279-1295.
MLA	Chen, GQ,et al."On the zero-Rossby limit for the primitive equations of the atmosphere".NONLINEARITY 14.5(2001):1279-1295.

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