GEORGE MASON UNIVERSITY
DEPARTMENT OF MATHEMATICAL SCIENCES
APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR


Speaker: Robert Allen, GMU
Title: Turing Instabilities in Reaction-Diffusion Equations

Abstract: In this talk, I will discuss the analysis of the bifurcation structure of a reaction-diffusion equation with Thomas non-linearities, and the spatial patterns produced by what are called Turing instabilities. We use AUTO to construct the bifurcation structure for our system. We will discuss pattern formation in one and two dimensions. Also, we will present an enhanced visualization system developed to enhance AUTO. This is joint work with Evelyn Sander, Richard Tatum and Thomas Wanner. This talk will be accessible to graduate students.

Time: Friday, Sept. 12, 2008, 1:30-2:30 p.m.

Place: Science and Tech I, Room 242


Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, VA 22030-4444
http://math.gmu.edu/
Tel. 703-993-1460, Fax. 703-993-1491