This is the public web page to serve as a brief overview for MATH 6793. 

Course Description

Turbulent diffusion of particles in fluids is an important topic with many applications to studies of pollutant dispersal, atmosphere-ocean dynamics, chemical mixing processes, and combustion.  This course will take an applied mathematical approach to turbulent diffusion, emphasizing the use of stochastic (probabilistic) techniques and asymptotic analysis to illustrate fundamental physical mechanisms.  Indeed, the pedagogical focus of the course will be on a rather general development and application of stochastic techniques, with turbulent diffusion serving primarily as a particular applied physical context.

Advanced undergraduate and graduate students from mathematical and other science and engineering departments are encouraged to participate.  The prerequisites are a good understanding of ordinary differential equations and linear algebra.  Some background in probability theory would be helpful, but the results needed for the applications will be reviewed within the course.

Announcements

Instructor

• Peter R. Kramer (office: Amos Eaton 310, office hrs: Tuesdays 2:00-3:00 PM (this class has priority), Wednesdays 2:00-3:00 PM (undergraduate class priority), Fridays 5:00-6:00 PM (equal priority), phone: 276-6896, email: kramep@rpi.edu)

 

Problem Sets (PDF)

• The course grade will be determined solely through homework problems and projects (4 or fewer assignments will be given).