THE RELATION OF TWO-DIMENSIONAL VISCOUS CAMASSA-HOLM EQUATIONS AND THE NAVIER-STOKES EQUATIONS |
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| Authors: | Yang Linge |
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| Affiliation: | Department of Mathematics Foshan University South China Normal University Institute of Applied Physics and Computational Mathematics P.O.Box 8009 |
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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. |
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