Initial layer associated with Boussinesq systems for thermosolutal convection
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Date
2022-04-21
Authors
Fan, Xiaoting
Wang, Wei
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Boussinesq system, Thermosolutal convection, Prandtl number, Perturbation theory, Asymptotic expansion
Citation
Fan, X., & Wang, W. (2022). Initial layer associated with Boussinesq systems for thermosolutal convection. <i>Electronic Journal of Differential Equations, 2022</i>(33), pp. 1-18.
Rights
Attribution 4.0 International