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

Yang Linge; Ji Yanshan; Ji Yanshan

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

Acta mathematica scientia, Series B >

2009 , Vol. 29 >Issue 1: 65 - 73

DOI: https://doi.org/10.1016/S0252-9602(09)60007-2

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

Yang Linge ,
Ji Yanshan ,
Ji Yanshan

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Department of Mathematics, Foshan University, Foshan 528000, China

Received date: 2006-08-27

Revised date: 2007-09-03

Online published: 2009-02-20

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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

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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 . DOI: 10.1016/S0252-9602(09)60007-2

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