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Lü, B.Q., Xu, Z.H. and Zhong, X. (2015) On Local Strong Solutions to the Cauchy Problem of Two-Dimensional Density-Dependent Magnetohydrodynamic Equations with Vacuum. arXiV:1506.02156V1

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.