University of Missouri-Columbia
College of Arts & Science

Department of Mathematics

Course Announcements Winter 2008

Math 8702 sec 1 —Topics in Applied Mathematics: Mathematical principles of fluid dynamics and fluid turbulence

Instructor: Stamatis Dostoglou

Description: The course will be an introduction to Fluid Mechanics and the prevailing mathematical theories of turbulence.

The course will examine at first Newtonian incompressible fluids (described by the Navier-Stokes equations), but also more general fluids (for example, compressible). It will then concentrate on the Kolmogorov theory of turbulence.

Topics will include: Equations of motion, vorticity, convection, viscocity, dynamic similarity,coherent structures (eddies), universal laws, specific flow problems.

Prerequisites: The course should be accessible to everybody with a good grasp of multi-variable calculus.

Bibliography:

(Course description also available as pdf file)