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