Math 228: Mathematical Fluid Dynamics (Spring 2012)
This course is designed to give an overview of fluid dynamics from a
mathematical viewpoint, and to introduce students to areas of active
research in fluid dynamics. This course is aimed at first year graduate
students in mathematics, physics, and engineering.
Topics to be covered:
- Derivation of the governing equations: Euler and Navier-Stokes
- Flow kinematics, Conservation laws and Vorticity
- Inviscid, irrotational flows: potential flow and complex variables
- Classical laminar flows
- Boundary Layers and Asymptotic Models in Fluid Dynamics
- Water waves
- Flow Instabilities
Prerequisites
Some background in solving ordinary and partial differential equations,
basic physics/mechanics, multivariable calculus.
Schedule
Wed/Fri, 1:15-2:30pm, Room 119 Physics Building
- First class meeting: "Classes meeting in a Wednesday/Friday
meeting pattern begin January 13" -- see Academic Calendar
Instructor
Thomas Witelski, Professor, Dept of Math
Office hours
(Tentative) Mondays 1:00-3:00 pm,
or by email request for an appointment for other times.
Textbook
Problem sets
Course materials and web links
Reference books
- Theoretical hydrodynamics by L.M. Milne-Thomson
- An introduction to theorertical fluid mechanics by S. Childress
- Fluid Mechanics by Kundu and Cohen
- Fundamental Mechanics of Fluids by I. G. Currie
- A mathematical introduction to fluid mechanics by Chorin and Marsden
- Fluid dynamics for physicists by T. E. Faber
- Physical fluid dynamics by D. J. Tritton