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Regularity Criteria for the Viscous Camassa-Holm Equations
Journal article   Peer reviewed

Regularity Criteria for the Viscous Camassa-Holm Equations

Yong Zhou and Jishan Fan
International mathematics research notices, Vol.2009(13), pp.2508-2518
01/01/2009
DOI: https://doi.org/10.1093/imrn/rnp023

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we consider the viscous n-dimensional Camassa-Holm equations in the whole space. Various regularity criteria for the strong solution are established. As a corollary, we show the existence of a global smooth solution when n <= 4.

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