Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup

Kang, Kyungkeun; Scheel, Arnd; Stevens, Angela

Forschungsartikel (Zeitschrift) | Peer reviewed

Zusammenfassung

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 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.

Details zur Publikation

FachzeitschriftNonlinearity
Jahrgang / Bandnr. / Volume32
Ausgabe / Heftnr. / Issue6
StatusVeröffentlicht
Veröffentlichungsjahr2019
Sprache, in der die Publikation verfasst istEnglisch
DOI10.1088/1361-6544/ab046d
Link zum Volltexthttps://iopscience.iop.org/article/10.1088/1361-6544/ab046d
Stichwörterrun-and-tumble; myxobacteria; blowup; stability

Autor*innen der Universität Münster

Stevens, Angela
Professur für Angewandte Analysis (Prof. Stevens)