Nader Masmoudi, Belkacem Said-Houari, Weiren Zhao
Published 2020-10-04Version 1
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.
Stability of Couette flow for 2D Boussinesq system in a uniform magnetic field
The global well-posedness and global attractor for the solutions to the 2D Boussinesq system with variable viscosity and thermal diffusivity
New energy method in the study of the instability near Couette flow
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