Stability of the Couette flow at high Reynolds numbers in two dimensions and three dimensions

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Abstract

We review works on the asymptotic stability of the Couette flow. The majority of this paper is aimed toward a wide range of applied mathematicians, and there is an additional section aimed toward experts in the mathematical analysis of PDEs.

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Bedrossian, J., Germain, P., & Masmoudi, N. (2019). Stability of the Couette flow at high Reynolds numbers in two dimensions and three dimensions. Bulletin of the American Mathematical Society, 56(3), 373–414. https://doi.org/10.1090/bull/1649

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