Xiaoting Fan, Wei Wang
Abstract:
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.
Submitted November 16, 2021. Published April 21, 2022.
Math Subject Classifications: 35Q35, 35B20, 35C20.
Key Words: Boussinesq system; thermosolutal convection; Prandtl number;
perturbation theory; asymptotic expansion.
Show me the PDF file (330 KB), TEX file for this article.
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Xiaoting Fan College of Mathematics and Systems Science Shandong University of Science and Technology Qingdao 266590, China email: xiao_ting_fan@163.com |
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Wei Wang College of Mathematics and Systems Science Shandong University of Science and Technology Qingdao 266590, China email: weiw10437@163.com |
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