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