American Institute of Mathematical Sciences

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July  2008, 7(4): 845-852. doi: 10.3934/cpaa.2008.7.845

Local existence and blowup criterion of the Lagrangian averaged Euler equations in Besov spaces

Houyu Jia 1, and  Xiaofeng Liu 2,

1. 

The Department of Mathematics, Zhejiang University, Hangzhou, 310027, China
2. 

The Department of Mathematics, Huashi Da University, Shanghai, 200333, China

Received  July 2007 Revised  February 2008 Published  April 2008

We consider the local existence and blowup criterion of the 3D Lagrangian averaged Euler equations in Besov spaces and obtain the existence and blowup criterion.
Keywords: blowup criterion, Besov spaces., 3D Lagrangian averaged Euler equations.
Mathematics Subject Classification: Primary: 76B0.
Citation: Houyu Jia, Xiaofeng Liu. Local existence and blowup criterion of the Lagrangian averaged Euler equations in Besov spaces. Communications on Pure & Applied Analysis, 2008, 7 (4) : 845-852. doi: 10.3934/cpaa.2008.7.845
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