Global well-posedness for the 2D Boussinesq equations with zero viscosity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:447

Article

Zhou, Daoguo¹  Li, Zilai¹ 

[1] Henan Polytech Univ, Coll Math & Informat, Jiaozuo 454000, Henan, Peoples R China

关键词: Global existence;    Boussinesq equations;    Zero viscosity;    Bounded domain;   

DOI  :  10.1016/j.jmaa.2016.10.058

来源: Elsevier

【 摘 要 】

We prove the global well-posedness of the two-dimensional Boussinesq equations with zero viscosity and positive diffusivity in bounded domains for rough initial data [u(0) is an element of L-2, curl u(0) is an element of L-infinity and theta(0) is an element of B-q,p(2-2/p) with p is an element of (1, infinity), q is an element of (2, infinity)]. Our method is based on the maximal regularity for heat equation. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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