49 citations · 253 across the 59 of their papers we have counts for
4 papers · 2 filters
Growing stripes, with and without wrinkles
M. Avery, R. Goh, O. Goodloe +2
We present results on stripe formation in the Swift-Hohenberg equation with a directional quenching term. Stripes are "grown" in the wake of a moving parameter step line, and we an…
Pinning and Depinning: from periodic to chaotic and random media
Noah Ankney, Montie Avery, Tali Khain +1
We study propagation of dissipative structures in inhomogeneous media with a focus on pinning and depinning transitions. We model spatial complexity in the medium as generated by d…
Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup
Kyungkeun Kang, Arnd Scheel, Angela Stevens
For spatially one-dimensional run-and-tumble dynamics with mass conservation we develop a coarse phase diagram, that discriminates between global decay to equidistributed constant…
Advection and autocatalysis as organizing principles for banded vegetation patterns
Arnd Scheel, Jasper Weinburd
We motivate and analyze a simple model for the formation of banded vegetation patterns. The model incorporates a minimal number of ingredients for vegetation growth in semi-arid la…