On the Boussinesq system: local well-posedness of the strong solution and inviscid limits

Abstract

Abstract In this paper, we consider the solvability, regularity and vanishing viscosity limit of the 3D viscous Boussinesq equations with a Navier-slip boundary condition. We also obtain the rate of convergence of the solution of viscous Boussinesq equations to the corresponding ideal Boussinesq equations.

Keywords

• Boussinesq equations
• Vanishing viscosity limit
• Navier-slip boundary conditions