Analysis and Its Applications Seminar

Abstract:

Fronts are traveling waves in spatially extended systems that connect two different spatially homogeneous rest states. If the rest state behind the front becomes unstable, then the front will also destabilize. On the linear level there exists an exponentially weighted norm that stabilizes the front; in other words, the instability of the front in the co-moving frame is convective since perturbations are pushed away from the interface of the front.