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has been cited by the following article:
TITLE: Local Strong Solutions for the Cauchy Problem of 2D Density-Dependent Boussinesq Equations with Vacuum
AUTHORS: Huifeng Wang
KEYWORDS: Non-Homogeneous Incompressible Boussinesq Equation, Strong Solution, Vacuum, Cauchy Problem
JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.10, October 22, 2019
ABSTRACT: 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.