KMS Of Academy of mathematics and systems sciences, CAS
On the zero-Rossby limit for the primitive equations of the atmosphere | |
Chen, GQ; Zhang, P | |
2001-09-01 | |
Source Publication | NONLINEARITY
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ISSN | 0951-7715 |
Volume | 14Issue:5Pages: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 | |
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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