Asymptotic stability of the Kolmogorov flow at high Reynolds numbers

Qi Chen, Hao Jia, Dongyi Wei +1

In this paper we prove the asymptotic stability of the Kolmogorov flow on a non-square torus for perturbations ${\omega }_0$ satisfying $\Vert {\omega }_0{\Vert }_{H^3}\ll {\nu }^{1/3}$, where $0<\nu \ll 1$ is the vi…