Course Details:
Time: MWF 9:55am-10:45am
Room: Van Vleck B219
Office hours: MWF 11am-12pm (VV505)
Instructor: Saverio Spagnolie
Office: Van Vleck 505
Course website: http://www.math.wisc.edu/~spagnolie/Courses/MATH705_2012/index.html
Textbooks:
You may be interested in visiting the following supplementary texts; the first four have been placed on reserve in the math library (Van Vleck B224):
Course Content:
This course will explore the dynamics of fluids from a rigorous mathematical perspective. Topics will include the kinematics of fluids, the Navier-Stokes equations, potential flows, vorticity dynamics, viscosity-dominated (Stokes) flows, lubrication theory, classical airfoil theory, boundary layers, and water waves. Discussions will take us from classical, centuries-old techniques to open questions of active research and just recently observed phenomena. Incoming students should have experience with partial differential equations and basic complex variables.
Grading:
The final grade will be set by scores on homework assignments (90%) and on a short project (10%).
Homework/exam policy:
Feel free to discuss the homework with each other, but you are required to write up and turn in your own solutions. The take-home exam should be completed on your own.
Homework sets:
Homework set #1 (Due 9/17/2012): HW #1
Homework set #2 (Due 10/01/2012): HW #2
Homework set #3 (Due 10/22/2012): HW #3
Homework set #4 (Due 11/12/2012): HW #4
Homework set #5 (Due 12/03/2012): HW #5
Homework set #6 (Due 12/19/2012): HW #6
Miscellaneous:
