# American Institute of Mathematical Sciences

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

 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.
Citation: Houyu Jia, Xiaofeng Liu. Local existence and blowup criterion of the Lagrangian averaged Euler equations in Besov spaces. Communications on Pure and Applied Analysis, 2008, 7 (4) : 845-852. doi: 10.3934/cpaa.2008.7.845
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