Saturday, August 12

Reaction Diffusion Equations and Sharp Transitions

1:30 PM-4:00 PM
Anthurium and Ginger (Salon 1 & 2)

The speakers in this minisymposium will discuss reaction-diffusion equations and systems, which arise in many applications of mathematics, for example, mathematical biology, catalysis and combustion. They will particularly emphasize the case of small diffusion where there can be sharp transitions. They will discuss various analytic and topological methods for obtaining such solutions, the stability of these solutions (especially stability for systems), and systems in general.

Organizer: Edward Norman Dancer
University of Sydney, Australia
1:30-1:55 Existence and Multiplicity of Peak Solutions
Edward Norman Dancer, Organizer
2:00-2:25 Remarks on the Stability of Stationary Solutions with Multiple Peaks to an Activator-Inhibitor System
Izumi Takagi, Tohoku University, Japan; and Eiji Yanagida, University of Tokyo, Japan
2:30-2:55 Diffusion vs. Cross-Diffusion
Yuan Lou, Ohio State University, USA
3:00-3:25 Sharp Layer Solutions and Secondary Bifurcations
Junping Shi, Tulane University, USA
3:30-3:55 Monotone and Nonmonotone Traveling Waves of a Model of B-Z Reaction
Qi-Xiao Ye, Beijing Institute of Technology, China

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