Article citationsMore>>

Hou, T.Y. and Li, C. (2005) Global Well-Posedness of the Viscous Boussinesq Equations. Discrete and Continuous Dynamical Systems, 12, 1-12.
https://doi.org/10.3934/dcds.2005.12.1

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.