Initial-boundary layer associated with the 3-D Boussinesq system for Rayleigh-Benard convection
Initial-boundary layer associated with the 3-D Boussinesq system for Rayleigh-Benard convection
复制标题
DOI：
10.58997/ejde.2020.31
复制
发表时间：
2020-04
影响因子：
0.7
通讯作者：
Xiaoting Fan;Shu Wang;Wen-Qing Xu
中科院分区：
文献类型：
--
作者：
Xiaoting Fan;Shu Wang;Wen-Qing Xu
本文研究了在初始数据准备不充分的情况下，三维不可压Boussinesq方程组对Rayleigh-Benard对流的初边界层效应。我们考虑了速度场的非滑移边界条件和温度场的非齐次Dirichlet边界条件。利用多尺度分析和匹配渐近展开方法，我们建立了具有粘性和扩散的Boussinesq系统的精确近似解。我们还研究了无穷Prandtl数极限的收敛性。欲了解更多信息，请访问https://ejde.math.txstate.edu/Volumes/2020/31/abstr.html
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. For more information see https://ejde.math.txstate.edu/Volumes/2020/31/abstr.html