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