Global well-posedness for the 2D inviscid Benard system with fractional diffusivity and Yudovich's type data

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:253

Article

Wu, Gang²  Xue, Liutang¹ 

[1] China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R China

[2] Chinese Acad Sci, Sch Math Sci, Grad Univ, Beijing 100049, Peoples R China

关键词: 2D inviscid Benard system;    2D inviscid Boussinesq system;    Yudovich's type data;    Fractional diffusivity;    DeGiorgi-Nash estimate;    Smoothing effect;   

DOI  :  10.1016/j.jde.2012.02.025

来源: Elsevier

【 摘 要 】

In this paper we consider the Cauchy problem of the two-dimensional inviscid Benard system with fractional diffusivity. We show that there is a global unique solution to this system with Yudovich's type data. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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