Applied and Computational Math Seminar: Stability and Dynamics of Invasion Fronts in Spatially Extended Systems

Speaker: Matt Holzer, George Mason University
Title: Stability and Dynamics of Invasion Fronts in Spatially Extended Systems

Abstract: Invasion fronts refer to fronts that propagate into unstable states. This talk will provide a review of some of the theoretical aspects of invasion fronts and discuss current research efforts. Several applications will be introduced involving the spread of infectious diseases and pattern selection in pattern formation problems. On the mathematical side, we will devote a considerable portion of the talk to the stability of pulled invasion fronts which are characterized by marginally stable essential spectrum and approached using pointwise semigroup methods. The talk should be accessible to graduate students.  

Time: Friday, November 8, 2019, 1:30-2:30pm

Place: Exploratory Hall, Room 4106