Sunday, September 10

MS22
Various Aspects of the Stability of Traveling Waves

3:30 PM - 5:30 PM
Room: Mary Gates Hall 389

Traveling wave solutions arise in a variety of applied problems from different fields: optical communication, combustion theory, biomathematics (calcium waves in tissues, population dynamics), chemistry (auto-catalytic reactions) and many others, therefore the stability properties of traveling waves are of interest. The goal of this minisymposium is to demonstrate various aspects of the spectral and nonlinear stability of traveling waves such as wave trains, fronts and shock profiles. Proof techniques include analytic as well as numerical approaches.

Organizer: Anna Ghazaryan
University of North Carolina at Chapel Hill

3:30-3:55 Nonlinear Convective Instabilities of Turing-unstable Fronts Near Onset: A Case Study

Anna Ghazaryan, University of North Carolina at Chapel Hill; Bjorn Sandstede, Brown University

4:00-4:25 The Saddle-node of a Homogeneous Oscillation in Spatially Extended Reaction-diffusion Systems

Jens D. Rademacher, Centrum voor Wiskunde en Informatica (CWI), Netherlands; Arnd Scheel, University of Minnesota, Minneapolis

4:30-4:55 Fredholm Determinants in Spectral Theory

Yuri Latushkin, University of Missouri, Columbia

5:00-5:25 Evans Function Computation for Large Systems

Jeffrey Humpherys, Brigham Young University; Kevin Zumbrun, Indiana University