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Pré-Publication, Document De Travail Année : 2017

Weighted gevrey class regularity of euler equation in the whole space

Résumé

In this paper we study the weighted Gevrey class regularity of Euler equation in the whole space R 3. We first establish the local existence of Euler equation in weighted Sobolev space, then obtain the weighted Gevrey regularity of Euler equation. We will use the weighted Sobolev-Gevrey space method to obtain the results of Gevrey regularity of Euler equation, and the use of the property of singular operator in the estimate of the pressure term is the improvement of our work.
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Dates et versions

hal-01473733 , version 1 (22-02-2017)

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Feng Cheng, Wei-Xi Li, And Chao-Jiang Xu. Weighted gevrey class regularity of euler equation in the whole space. 2017. ⟨hal-01473733⟩
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