MATH8590 Topics in
Partial Differential equations, Fall 2019
Time and Location: 1:25 PM‑2:15 PM MWF at Vincent
Textbook: There is no textbook required but the
following books may be consulted:
Instead, we will roughly follow a
list of papers (will be updated as class progresses):
Online Videos on
two dimensional free decaying turbulence: search ``free decaying
two dimensional turbulence" on YouTube.
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,
Office hours: Monday 3:30-4:30pm, Wednesday