The zero limit of thermal diffusivity for the 2D density-dependent Boussinesq equations with vacuum
The zero limit of thermal diffusivity for the 2D density-dependent Boussinesq equations with vacuum
复制标题
真空下二维密度相关 Boussinesq 方程的热扩散率零极限
DOI：
10.1002/zamm.201900064
复制
发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Zhu Mingxuan
中科院分区：
文献类型：
--
作者：
Ye Xia;Zhu Mingxuan
This paper is concerned with the initial boundary problem to the two‐dimensional density‐dependent Boussinesq equations with vacuum. The global solution of the density‐dependent Boussinesq equations with zero thermal diffusivity will be obtained. We also show the asymptotic behavior of the solutions of the Boussinesq equations as the thermal diffusivity tends to zero. If the initial data, the solutions of the Boussinesq equations converge to those of zero thermal diffusivity Boussinesq equations as the thermal diffusivity tends to zero.
