Yudovich type solution for the 2D inviscid Boussinesq system with critical and supercritical dissipation期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Yudovich type solution for the 2D inviscid Boussinesq system with critical and supercritical dissipation

Authors:	Xiaojing Xu Liutang Xue

Institution:	1. School of Mathematical Sciences, Beijing Normal University and Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, PR China;2. Université Paris-Est Marne-la-Vallée, Laboratorie d''Analyse et de Mathématiques Appliquées, Cité Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée, Cedex 2, France

Abstract:	In this paper we consider the Yudovich type solution of the 2D inviscid Boussinesq system with critical and supercritical dissipation. For the critical case, we show that the system admits a global and unique Yudovich type solution; for the supercritical case, we prove the local and unique existence of Yudovich type solution, and the global result under a smallness condition of _θ₀ $θ_{0}$ . We also give a refined blowup criterion in the supercritical case.

Keywords:	76B03 35Q31 35Q35 35Q86
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