| No. |
Date |
Topics |
| 1 |
8/27 |
introduction; ideal fluid |
| 2 |
8/29 |
streamline and trajectory, conservation of momentum |
| 3 |
9/3 |
conservation of energy, vorticity |
| 4 |
9/5 |
viscous fluids |
| 5 |
9/10 |
lab tour |
| 6 |
9/12 |
2-d viscous flow |
| 7 |
9/17 |
stability |
| 8 |
9/19 |
potential flow |
| 9 |
9/24 |
potential flow |
| 10 |
9/26 |
vorticity |
| 11 |
10/1 |
energy estimate for Navier-Stokes equations |
| 12 |
10/3 |
higher order energy estimates |
| 13 |
10/8 |
singular set for Navier-Stokes equations |
| 14 |
10/10 |
vortex motion |
| 15 |
10/17 |
vorticity of flows |
| 16 |
10/22 |
vorticity flows |
| 17 |
10/24 |
vortex convection, stretching and diffussion |
| 18 |
10/29 |
conservation laws for ideal flows |
| 19 |
10/31 |
virticity-stream formulation |
| 20 |
11/5 |
energy methods and uniqueness |
| 21 |
11/7 |
boundary layer |
| 22 |
11/12 |
convergence of viscous flows to invicid flows |
| 23 |
11/14 |
existence of Euler equations (singular integral) |
| 24 |
11/19 |
variational formulations for fluids |
| 25 |
11/21 |
viscoelastic fluids |
| 26 |
11/26 |
liquid crystals |
| 27 |
12/3 |
dumbbell models and kinetic theory |
| 28 |
12/5 |
general elastic fluids |
| 29 |
12/10 |
mixtures and free interfaces |
| 30 |
12/12 |
final class |
