Math 575: Mathematical Fluid Dynamics (Spring 2022) 
This course is designed to give an overview of fluid dynamics and the
mathematical techniques used to study some of the many sub-classes of
This course is aimed at first year graduate
students in mathematics, physics, and engineering.
- 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
- Low Reynolds number flows: Stokes and Lubrication equations
- Dimensional scaling, Asymptotic Models, and Boundary
Layers in Fluid Dynamics
- Water waves
- Flow Instabilities
Background in solving ordinary and partial differential equations,
basic physics/mechanics, multivariable calculus.
Math 575-01 (4837) Mathematical Fluid Dynamics
- First class meeting: FRIDAY, Jan 7, 2022 --
see Academic Calendar
- Lectures end: Wed, April 20,2022.
Thomas Witelski, Dept of Math
Schedule to be announced,
or by email request for an appointment for other times.
Course materials and web links
- 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
- Incompressible flow by R. Panton