Article citationsMore>>

Liang, Z.L. (2015) Local Existence Strong Solution and Blow-Up Criterion for the 2D Nonhomogeneous Incompressible Fluids. Journal of Differential Equations, 7, 2633-2654.
https://doi.org/10.1016/j.jde.2014.12.015

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.