1 citations · 1 across the 2 of their papers we have counts for
3 papers
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…
Sorting Phenomena in a Mathematical Model For Two Mutually Attracting/Repelling Species
Martin Burger, Marco Di Francesco, Simone Fagioli +1
Macroscopic models for systems involving diffusion, short-range repulsion, and long-range attraction have been studied extensively in the last decades. In this paper we extend the…
A hydrodynamic limit for chemotaxis in a given heterogeneous environment
Stefan Grosskinsky, Daniel Marahrens, Angela Stevens
In this paper the first equation within a class of well known chemotaxis systems is derived as a hydrodynamic limit from a stochastic interacting many particle system on the lattic…