In this note we obtain a sufficient condition on the regularity of the weak solutions to guarantee the conservation of helicity for the 3-D incompressible Euler equations. As a corollary we obtain a lower bound of the vorticities for a weak solution of the Euler equations.
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Northwest Univ, Sch Math, Xian 710127, Shaanxi, Peoples R China
Northwest Univ, Ctr Nonlinear Studies, Xian 710127, Shaanxi, Peoples R ChinaZhengzhou Univ Light Ind, Coll Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China
Wei, Wei
Wu, Gang
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Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R ChinaZhengzhou Univ Light Ind, Coll Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China
Wu, Gang
Ye, Yulin
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Henan Univ, Sch Math & Stat, Kaifeng 475004, Peoples R ChinaZhengzhou Univ Light Ind, Coll Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China