Kang, Kyungkeun; Scheel, Arnd; Stevens, Angela
Forschungsartikel (Zeitschrift) | Peer reviewedFor spatially one-dimensional run-and-tumble dynamics with mass conservation we develop a coarse phase diagram, that discriminates between global decay to equidistributed constant states, existence of spatially non-trivial waves, and finite time blowup of solutions. Motivated by counter-migrating ripples of high and low population density and fruiting body formation in myxobacteria, we identify phase boundaries as particular critical tumbling dynamics that allow for switching between these spatio-temporal phases upon slight changes in mass densities or parameter values.
Stevens, Angela | Professur für Angewandte Analysis (Prof. Stevens) |