Author(s)

Huifeng Wang

University of Shanghai for Science and Technology, Shanghai, China.

The main goal of the paper is to obtain the local strong solution of the Cauchy problem of the nonhomogeneous incompressible Boussinesq equation in two-dimension space. Especially, when the far-field density is vacuum, we make a priori estimate in a bound ball and prove the existence and uniqueness of the local strong solution of the Boussinesq equation.

Non-Homogeneous Incompressible Boussinesq Equation, Strong Solution, Vacuum, Cauchy Problem

Wang, H. (2019) Local Strong Solutions for the Cauchy Problem of 2D Density-Dependent Boussinesq Equations with Vacuum. Journal of Applied Mathematics and Physics, 7, 2373-2383. doi: 10.4236/jamp.2019.710161.