49 citations · 253 across the 59 of their papers we have counts for
5 papers · 1 filter
Selection mechanisms in front invasion
Montie Avery, Matt Holzer, Arnd Scheel
We review progress on questions related to front propagation into unstable states and point out open problems in the area. We strive to highlight different theoretical perspectives…
Pulled fronts are not (just) pulled
Montie Avery, Matt Holzer, Arnd Scheel
Front propagation into unstable states is often determined by the linearization, that is, propagation speeds agree with predictions from the linearized equation at the unstable sta…
Vacuum bubble and fissure formation in collective motion with competing attractive and repulsive forces
Olivia Clifton, Angel Chavez, Antonio Madrigal +3
We study the continuum limit of the motion of agents in the plane driven by competing short-range repulsion and long-range attractive forces. At a critical parameter value, we find…
Reversible switching due to attraction and repulsion: clusters, gaps, sorting, and mixing
Arnd Scheel, Angela Stevens
We describe a phase transition in continuum limits of interacting particle systems that exhibits a vertical bifurcation diagram. The transition is mediated by a competition short-r…
Instability of anchored spirals in geometric flows
Anthony Cortez, Nan Li, Nathan Mihm +3
We investigate existence, stability, and instability of anchored rotating spiral waves in a model for geometric curve evolution. We find existence in a parameter regime limiting on…