Vanishing diffusivity limit for the 3D heat-conductive Boussinesq equations with a slip boundary condition

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:460

Article

Zhang, Zhipeng¹ 

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

关键词: Boussinesq equations;    Vanishing diffusivity limit;    Slip boundary condition;   

DOI  :  10.1016/j.jmaa.2017.11.045

来源: Elsevier

【 摘 要 】

In this paper, we consider the 3D heat-conductive Boussinesq equations with a slip boundary condition for the velocity field and Neumann boundary condition for the temperature. We prove that there exists an interval of time which is uniform for the heat conductivity coefficient is and for which the 3D heat-conductive Boussinesq equations have a strong solution. The solution is uniformly bounded in some spaces with respect to is kappa Based on these uniform estimates, we establish the vanishing diffusivity limit for the Boussinesq equations and also obtain the convergence rates for the velocity field and the temperature. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free