Week
|
Dates
|
Lecture Notes
|
1
|
Jan. 10
|
L01: Sobolev spaces and Newtonian potential (X. Yu)
|
2
|
Jan. 17
|
L02: div u = b (B. Pineau)
|
3
|
Jan. 24
|
Helmholz-Weyl decomposition (W. Mun)
|
4
|
Jan. 31
|
Linear stationary problem (X. Yu)
|
5
|
Feb. 7
|
Stokes operator (B. Pineau)
|
6
|
Feb. 14
|
Nonlinear stationary problem (W. Mun or X. Yu)
|
7
|
Feb. 21
|
Derivative in time; Explicit solution (X. Yu)
|
8
|
Feb. 28
|
Cauchy problem; Pressure field (B. Pineau or X. Yu)
|
9
|
Mar. 7
|
Uniqueness; Interior regularity; Boundary regularity (X. Yu)
|
10
|
Mar. 14
|
Compactness (X. Yu)
|
11
|
Mar. 21
| Weak solutions (B. Pineau) |
12
|
Mar. 28
|
Leray-Hopf solutions (W. Mun)
|
13
|
Apr. 4
|
Strong solutions (X. Yu)
|
14
|
Apr. 11
|
|