Regularity criteria and uniform estimates for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity

2014/05/01 by Jishan Fan, Fucai Li, Gen Nakamura
Mathematics · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Nonlinear Partial Differential Equations

paper · doi:10.1063/1.4878495

Abstract

In this paper, we establish some regularity criteria for the 3D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity. We also obtain some uniform estimates for the corresponding 2D case when the fluid viscosity coefficient is a positive constant.

Citations

• Global Well-Posedness Issues for the Inviscid Boussinesq System with Yudovich’s Type Data
• Global well-posedness for the 2-D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity
• Global regularity for the 2D Boussinesq equations with partial viscosity terms

Related

• On the regularity of temperature fronts for the 3D viscous Boussinesq system
• Global regularity of non-diffusive temperature fronts for the 2D viscous Boussinesq system
• Global Weak Solutions for Boussinesq System with Temperature dependent\n Viscosity and bounded Temperature
• Mild solutions to the 3D-Boussinesq system with weakened initial temperature
• Global well-posedness for 2-D Boussinesq system with the temperature-dependent viscosity and supercritical dissipation