Article citationsMore>>

Choe, H.J. and Kim, H. (2003) Strong Solutions of the Navier-Stokes Equations for Nonhomogeneous Incompressible Fluids. Communications in Partial Differential Equations, 28, 1183-1201.
https://doi.org/10.1081/PDE-120021191

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.