MATH8590 Topics in
Partial Differential equations, Fall 2019
Time and Location: 1:25 PM‑2:15 PM MWF at Vincent
Hall 209
Course Announcement
Homework assignments
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):
-
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
Online Videos on
two dimensional free decaying turbulence: search ``free decaying
two dimensional turbulence" on YouTube.
Office hours: Monday 3:30-4:30pm, Wednesday
2:30pm-3:30pm
.