4 citations · 4 across the 2 of their papers we have counts for
3 papers
math.AP2021
A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system
Jan Fuhrmann, Johannes Lankeit, Michael Winkler
Derived from a biophysical model for the motion of a crawling cell, the system \[(*)~\begin{cases}u_t=Δu-\nabla\cdot(u\nabla v)\\0=Δv-kv+u\end{cases}\] is investigated in a finite…
math.AP2018★ 4 cited
Nonlinear waves and polarization in diffusive directed particle flow
Heinrich Freistühler, Jan Fuhrmann
We consider a system of two reaction-diffusion-advection equations describing the one dimensional directed motion of particles with superimposed diffusion and mutual alignment. For…
math.AP2017
Bifurcation of traveling waves in a Keller-Segel type free boundary model of cell motility
Leonid Berlyand, Jan Fuhrmann, Volodymyr Rybalko
We study a two-dimensional free boundary problem that models motility of eukaryotic cells on substrates. This problem consists of an elliptic equation describing the flow of cytosk…