PSU
Mark
Eberly College of Science Mathematics Department

Math 505 - Fall 2013
              Mathematical Fluid Mechanics


Schedule of classes : T R 9:45 - 11:00 AM in 110 Osmond.


Office Hours (subject to change): TUESDAY 11 AM - 12:30 PM, THURSDAY 4:30 - 6 PM.


Syllabus.



Textbooks (optional)

Course Topics :
  1. derivation of the Navier-stokes and Euler equations; vorticity equation, Kelvin circulation theorem.
  2. viscous fuids, global-in-time existence of weak solutions and local-in-time existence, uniqueness of strong solutions; mild solutions and semigroups; partial regularity and self-similar solutions;
  3. inviscid flows: existence by energy methods, vorticity-velocity formulation; global existence in 2 dimensions; exact solutions.
Additional topics if time allows : vanishing viscosity limit and boundary layers; vortex patches and rings; turbulence theories, dissipation of energy and enstrophy.






© Anna Mazzucato
Last modified: Mon Aug 26 10:38:55 EDT 2013