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arXiv · 2010.01612

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

Nader Masmoudi·Belkacem Said-Houari·Weiren Zhao
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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-$\frac{1}{s}$, ($1/3<s\leq 1$). The synergism of density mixing, vorticity mixing and velocity diffusion leads to the stability.

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Nader Masmoudi, Belkacem Said-Houari, Weiren Zhao. 2020-10-04. Stability of Couette flow for 2D Boussinesq system without thermal diffusivity. https://arxiv.org/abs/2010.01612

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