Boundary layers associated with the 3-D Boussinesq system for Rayleigh-Benard convection
Boundary layers associated with the 3-D Boussinesq system for Rayleigh-Benard convection
复制标题
与 Rayleigh-Benard 对流的 3-D Boussinesq 系统相关的边界层
DOI：
10.1080/00036811.2018.1553035
复制
发表时间：
2020
影响因子：
1.1
通讯作者：
Wang Wei
中科院分区：
文献类型：
--
作者：
Fan Xiaoting;Xu Wen-Qing;Wang Shu;Wang Wei
We investigate the boundary layer effects of the 3-D incompressible Boussinesq system for Rayleigh–Bénard convection with vanishing diffusivity limit. By adopting the multi-scale analysis and the asymptotic expansion methods of singular perturbation theory, we construct an exact approximating solution for the viscous and diffusive Boussinesq system with well-prepared initial data. In addition, we obtain the convergence result of the vanishing diffusivity limit.
