Asymptotic stability of a stratified flow for 3D Boussinesq equation
with velocity damping
Abstract
In this paper, we study the asymptotic stability of a stratified flow to
the three dimensional incompressible Boussinesq equations, which is
closely related to the famous B\’{e}nard convection
problem. With some sophisticated computation, we extend the result of
Castro, Cordoba and Lear(\cite{cardoba2}) to three
dimensions case.