Asymptotic stability of the 2D Boussinesq equations without thermal conduction

This paper is concerned with the asymptotic stability of certain stationary solution to Boussinesq equations without thermal conduction in the infinite flat strip $\Omega=\mathbb{R}\times (0,1)$. It is shown that the solution starting from initial data close to the stationary solution will converge to it with explicit algebraic rates as time tends to infinity.