On the global well-posedness of the Euler-Boussinesq system with fractional dissipation

PHYSICA D-NONLINEAR PHENOMENA

卷:239

Article

Hmidi, T.¹ 

[1] Univ Rennes 1, Math IRMAR, IRMAR, F-35042 Rennes, France

关键词: Euler-Boussinesq system;    Besov spaces;    Paradifferential calculus;   

DOI  :  10.1016/j.physd.2009.12.009

来源: Elsevier

【 摘 要 】

We study the global well-posedness of the Euler-Boussinesq system with the term dissipation vertical bar D vertical bar(alpha) on the temperature equation. We prove that for alpha > 1 the coupled system has a global unique solution for initial data with critical regularities. (c) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free