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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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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. 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.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2009年第1期65-73,共9页 数学物理学报(B辑英文版)
基金 Sponsored by the National Science Foundation of China (10471050, 10772046) Natural Science Foundation of Guangdong Province (7010407)
关键词 inviscid limits Navier-Stokes-α model Camassa-Holm equations inviscid limits Navier-Stokes-α model Camassa-Holm equations
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参考文献11

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