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

Houyu Jia; Xiaofeng Liu

doi:10.3934/cpaa.2008.7.845

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2008, Volume 7, Issue 4: 845-852. Doi: 10.3934/cpaa.2008.7.845

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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
2.
The Department of Mathematics, Huashi Da University, Shanghai, 200333

Received: June 30, 2007

Revised: January 31, 2008

Published: June 2008

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Abstract

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.

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Mathematics Subject Classification: Primary: 76B03.

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