Initial layer associated with Boussinesq systems for thermosolutal convection

Electronic Journal of Differential Equations

article

Xiaoting Fan¹  Wei Wang¹ 

[1] College of Mathematics and Systems Science Shandong University of Science and Technology Qingdao 266590

关键词: Boussinesq system;    thermosolutal convection;    Prandtl number;    perturbation theory;    asymptotic expansion;   

DOI  :  10.58997/ejde.2022.33

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

This article concerns the behavior of the initial layer appearing at large Prandtl number in Boussinesq equations with the ill initial data. By using the asymptotic expansion methods of singular perturbation theory, we establish an approximate solution and the rate of convergence as the Prandtl number tends to infinity. Our results improve the existing ones concerning thermosolutal convection.

【 授权许可】

CC BY