MA 797M: Special Topics: Fluid Mechanics
Spring, 2008: Tu Th 0430 0545 PM. Room: FOX 140
In this course, fluid
mechanics
will be presented from a mathematics perspective.
The equations of
fluid
mechanics will be introduced, and areas of active research
will be
discussed.
The course is suitable for graduate students in mathematics,
physics
and
engineering. Topics will include discussion of physical concepts
such
as
viscosity and surface tension, and mathematical formulations of
Stokes
flow,
lubrication theory, boundary layers, potential flow, as well
as
presentations
on stability and wave propagation. Applications to blood
flow and
coating flows
will be covered.
Instructor: Prof. Michael Shearer
http://www4.ncsu.edu/~shearer/home0.html
Office: 327 Harrelson
shearer@ncsu.edu
Tel.
515-3298
Textbook: Elementary Fluid Dynamics, by D.J. Acheson, Oxford University Press, 1990.
Background needed:
Undergraduate mechanics (Physics course), vector calculus, matrices,
ordinary
differential equations, undergraduate level linear partial differential
equations.
Other mathematics and
physics will be reviewed as needed.
Some of these pictures are from the web site of
John Bush,
MIT:
http://www-math.mit.edu/~bush/gallery.html