Professor Theodore Kolokolnikov, (Dalhousie University, Canada) Localized Patterns and their dynamics in Reaction-Diffusion systems
臺灣大學數學系演講公告
NTU Colloquium
Speaker:Professor Theodore Kolokolnikov, (Dalhousie University, Canada)
Title:Localized Patterns and their dynamics in Reaction-Diffusion systems
Abstract:Localized patterns are prevalent in nature. Some examples include animal skin patterns, vegetation patches, hot-spots in crime, insect swarms, laser pulses in optical cavities and many others. While these examples are very diverse, many share a common underlying cause. Mathematically, localized patterns involve solutions to PDE's that that exhibit sharp spatial gradients and include spikes or autosolitons, transition layers, stripes and so on. They typically have very complex dynamics such as self-replication, coarsening, oscillations, wave propagation, drift, and spatio-temporal chaos. In this talk we will give an overview of some of the mathematics behind the analysis of localized patterns and their dynamics. We will also give some more recent results in this field.
Time:2012 Apr 9 (Mon) 13:20-14:20
Venue:Room 202, Freshmen Building, National Taiwan University (臺灣大學天數館202室)