Department of Mathematics and Statistics
Talks for the week February 9-13, 2009 (previous week)
Analysis Seminar: "Transition to turbulence, small disturbances and sensitivity analysis"  Click to add this event to your calendar
Date Monday, February 09, 2009
Time 4:00 pm – 5:00 pm CST
Where Room G-4, Rolla Building
Event Type Lectures & Seminars
Presenter Dr. John Singler
Sponsored by Department of Mathematics and Statistics
Contact David Grow
Description Predicting transition to turbulence is one of the longstanding problems in fluid mechanics. Recently, new transition scenarios have been proposed that are based on the sensitivity of the linearized equations of motion with respect to small disturbances. These new "mostly linear" theories have increased our understanding of the transition process, but the role of nonlinearity has not been thoroughly explored. In this talk, we use sensitivity analysis to explore the effects of small disturbances on transition to turbulence. We begin with a model problem and demonstrate that sensitivity analysis can predict the behavior of the disturbed system. Then we consider the three dimensional Navier-Stokes equations and show that small disturbances have great potential to trigger transition.
Time Scales Seminar: "Existence of a periodic solution for subquadratic second-order discrete Hamiltonian systems"  Click to add this event to your calendar
Date Wednesday, February 11, 2009
Time 4:00 pm – 4:50 pm CST
Where Room G-4, Rolla Building
Event Type Lectures & Seminars
Presenter Rotchana Chieochan
Sponsored by Department of Mathematics and Statistics
Contact Martin Bohner
More http://web.mst.edu/~bohner/seminar/ts.html
Topology/Algebra Seminar: "Critical sets in frequency squares"  Click to add this event to your calendar
Date Thursday, February 12, 2009
Time 4:00 pm – 5:00 pm CST
Where Room G-5, Rolla Building
Event Type Lectures & Seminars
Presenter Dr. Ilene Morgan
Sponsored by Mathematics and Statistics
Contact Robert Roe
Description A frequency square is an n by n array based on m symbols in which each symbol must appear in each row and column the same number of times (which could vary depending on the symbol). A critical set in a frequency square is a partial frequency square that is uniquely completable and minimal. We will discuss some recent joint work with R. Saha Ray that corrects and improves upon some results from a paper published by other authors in 1999 and considers some possibilities for future research.