Mathematics 228: Mathematical Fluid Dynamics (Spring 2005)

Description

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
Irrotational flow: potential flow and complex variables
Water waves and Geophysical Fluid Dynamics
Classical laminar flows
Boundary Layers and Asymptotic Models in Fluid Dynamics
Flow Instabilities

Instructor

Tom Witelski

Schedule

WF 8:30 AM-9:45 AM, Physics 216

Prerequisites

Some background in solution of partial differential equations.

Textbook

Fluid Mechanics by P.K. Kundu and I. M. Cohen, 3rd edition, 2004

Course Website

For more information see Math 228

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