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Homework assignments

Textbook:

- A. Majda and A. Bertozzi, Vorticity and incompressible flows, Cambridge texts in applied math
- M. Van Dyke, An album of fluid motion
- Engel and Nagel, One-parameter semigroup for evolutionary equations
- Online lecture notes of T. TAO on Euler and Navier Stokes equations, https://terrytao.wordpress.com/category/teaching/254a-incompressible-fluid-equations/

- J. Bedrossian and N. Masmoudi, Inviscid damping and the asymptotic stability of planar shear fows in the 2D Euler equations, Publ. IHES, 122 (2015), 195-300.
- L. Faddeev, On the theory of the stability of plane-parallel fows of an ideal fluid, Zap. Nau. Semi. Leni. Otde. Mat. Inst. im. V. A. Stek. Aka. Nauk SSSR, Vol. 21, pp. 164-172, 1971
- J. McWilliams, The emergence of isolated coherent vortices in turbulent flow, J. Fluid Mech. 146 (1984)
- Zhiwu Lin, Instability of some ideal plane flows, Siam J. Math. Analysis, Vol. 35, No. 2, pp. 318-356, 2003
- Hao Jia, Linear Inviscid damping near monotone shear flows,
preprint arXiv:1902.06849

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