Stability of Couette flow for 2D Boussinesq system without thermal diffusivity

Abstract

In this paper, we prove the stability of Couette flow for 2D Navier-Stokes Boussinesq system without thermal diffusivity for the initial perturbation in Gevrey-$\frac{1}{s}$, ($1/3<s\le 1$). The synergism of density mixing, vorticity mixing and velocity diffusion leads to the stability.

arXiv comment90 pages