Initial-boundary layer associated with the 3-D Boussinesq system for Rayleigh-Benard convection

Date

2020-04-07

Authors

Fan, Xiaoting
Wang, Shu
Xu, Wen-Qing

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

This article concerns the initial-boundary layer effects of the 3-D incompressible Boussinesq system for Rayleigh-Benard convection with ill-prepared initial data. We consider a non-slip boundary condition for the velocity field and inhomogeneous Dirichlet boundary condition for the temperature. By means of multi-scale analysis and matched asymptotic expansion methods, we establish an accurate approximating solution for the viscous and diffusive Boussinesq system. We also study the convergence of the infinite Prandtl number limit.

Description

Keywords

Boussinesq system, Rayleigh-Benard convection, Infinite Prandtl number limit, Initial-boundary layer, Asymptotic expansion

Citation

Fan, X., Wang, S., Xu, W. Q. (2020). Initial-boundary layer associated with the 3-D Boussinesq system for Rayleigh-Benard convection. <i>Electronic Journal of Differential Equations, 2020</i>(31), pp. 1-20.

Rights

Attribution 4.0 International

Rights Holder

This work is licensed under a Creative Commons Attribution 4.0 International License.

Rights License