196S - Seminar in Mathematical Modeling
Fall 2001: Modeling the dynamics of viscous fluids
An introduction to the mathematical modeling of modern problems in fluid
dynamics. Beginning with the derivation of the fundamental equations of
fluid motion, we will construct models for waves and free-surface flows,
lubrication theory and the shallow water equations. Techniques for solving
these problems analytically and numerically will be developed with an emphasis
on gaining an insight into the underlying physics.
We will cover topics including hyperbolic and parabolic partial differential
equations, nonlinear ordinary differential equations, boundary layers,
dimensional analysis, and stability theory.
Course times: Tu Th 12:40--1:55 PM Room: 205 Physics Building
Fluid Dynamics by D. J. Acheson
Prerequisites: Vector Calculus (Math 103) and Differential Equations
(Mth 111 or Mth 131)
The Duke Focused Research Group of the Dynamics of Thin Films.
The Duke Scientific Computing and Applied Math Seminar
- Fluid dynamics resources
- Mathematics resources
- Scientific computing/Numerical analysis resources
- Scientific research resources