THE RELATION OF TWO-DIMENSIONAL VISCOUS CAMASSA-HOLM EQUATIONS AND THE NAVIER-STOKES EQUATIONS

doi:10.1016/S0252-9602(09)60007-2

数学物理学报(英文版)

THE RELATION OF TWO-DIMENSIONAL VISCOUS CAMASSA-HOLM EQUATIONS AND THE NAVIER-STOKES EQUATIONS

杨灵娥；纪艳珊；郭柏灵

Department of Mathematics, Foshan University, Foshan 528000, China

收稿日期:2006-08-27 修回日期:2007-09-03 出版日期:2009-02-20 发布日期:2009-02-20
通讯作者: 杨灵娥
基金资助:
Sponsored by the National Science Foundation of China (10471050, 10772046) and Natural Science Foundation of Guangdong Province (7010407)

THE RELATION OF TWO-DIMENSIONAL VISCOUS CAMASSA-HOLM EQUATIONS AND THE NAVIER-STOKES EQUATIONS

Yang Linge; Ji Yanshan; Ji Yanshan

Department of Mathematics, Foshan University, Foshan 528000, China

Received:2006-08-27 Revised:2007-09-03 Online:2009-02-20 Published:2009-02-20
Contact: Yang Linge

摘要/Abstract

摘要： In this article, the authors show the existence of global solution of two-
dimensional viscous Camassa-Holm (Navier-Stokes-alpha) (NS-α) equations. The authors also prove that the solution of the NS-α equations converges to the solution of the 2D NS equations in the inviscid limit and give the convergence rate of the difference of the solution.

关键词: inviscid limits, Navier-Stokes-α model, Camassa-Holm equations

Abstract: In this article, the authors show the existence of global solution of two-
dimensional viscous Camassa-Holm (Navier-Stokes-alpha) (NS-α) equations. The authors also prove that the solution of the NS-α equations converges to the solution of the 2D NS equations in the inviscid limit and give the convergence rate of the difference of the solution.

Key words: inviscid limits, Navier-Stokes-α model, Camassa-Holm equations

中图分类号:

35L30

杨灵娥;纪艳珊;郭柏灵. THE RELATION OF TWO-DIMENSIONAL VISCOUS CAMASSA-HOLM EQUATIONS AND THE NAVIER-STOKES EQUATIONS[J]. 数学物理学报(英文版), 2009, 29(1): 65-73.

Yang Linge; Ji Yanshan; Ji Yanshan. THE RELATION OF TWO-DIMENSIONAL VISCOUS CAMASSA-HOLM EQUATIONS AND THE NAVIER-STOKES EQUATIONS[J]. Acta mathematica scientia,Series B, 2009, 29(1): 65-73.

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THE RELATION OF TWO-DIMENSIONAL VISCOUS CAMASSA-HOLM EQUATIONS AND THE NAVIER-STOKES EQUATIONS

THE RELATION OF TWO-DIMENSIONAL VISCOUS CAMASSA-HOLM EQUATIONS AND THE NAVIER-STOKES EQUATIONS

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