53 citations · 60 across the 7 of their papers we have counts for
5 papers · 1 filter
Large densities in a competitive two-species chemotaxis system in the non-symmetric case
Shohei Kohatsu, Johannes Lankeit
This paper deals with the two-species chemotaxis system with Lotka-Volterra competitive kinetics, \begin{align*} \begin{cases} u_t = d_1 Δu - χ_1 \nabla \cdot (u \nabla w) + μ_1 u…
How far does small chemotactic interaction perturb the Fisher-KPP dynamics?
Johannes Lankeit, Masaaki Mizukami
This paper deals with nonnegative solutions of the Neumann initial-boundary value problem for the fully parabolic chemotaxis-growth system $=Δu_{\varepsilon}…
Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
Johannes Lankeit, Yulan Wang
This paper deals with the homogeneous Neumann boundary-value problem for the chemotaxis-consumption system \begin{eqnarray*} \begin{array}{llc} u_t=Δu-χ\nabla\cdot (u\nabla v)+κu-μ…
Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion
Johannes Lankeit
We show the existence of locally bounded global solutions to the chemotaxis system \[ u_t = \nabla\cdot(D(u)\nabla u) - \nabla\cdot(\frac{u}{v} \nabla v) \] \[ v_t = Δv - uv \] wit…
Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
Johannes Lankeit
We prove existence of global weak solutions to the chemotaxis system under homogeneous Neumann boundary conditions in…