Fan, XiaotingWang, ShuXu, Wen-Qing2021-09-222021-09-222020-04-07Fan, 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. 1-20.1072-6691https://hdl.handle.net/10877/14535This 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.Text20 pages1 file (.pdf)enAttribution 4.0 InternationalBoussinesq systemRayleigh-Benard convectionInfinite Prandtl number limitInitial-boundary layerAsymptotic expansionArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.