Stability of the Couette flow at high Reynolds number in 2D and 3D
arXiv:1712.02855
Abstract
We review works on the asymptotic stability of the Couette flow. The majority of the paper is aimed towards a wide range of applied mathematicians with an additional section aimed towards experts in the mathematical analysis of PDEs.
arXiv commentReview paper, 34 pages, 4 figures
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- Transition threshold for the 3D Couette flow in a finite channel
- Inviscid damping near the Couette flow in a channel
- Transition threshold for the 3D Couette flow in Sobolev space
- Pseudospectral bound and transition threshold for the 3D Kolmogorov flow
- Stability of the Couette flow under the 2D steady Navier-Stokes flow
- Nonlinear inviscid damping for zero mean perturbation of the 2D Euler Couette flow