391 citations · 668 across the 36 of their papers we have counts for
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math.AP2021
Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects
Johannes Lankeit, Michael Winkler
We introduce a generalized concept of solutions for reaction-diffusion systems and prove their global existence. The only restriction on the reaction function beyond regularity, qu…
math.AP2021★ 27 cited
Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary
Johannes Lankeit, Michael Winkler
The chemotaxis system \begin{align*} u_t &= Δu - \nabla \cdot (u\nabla v), \\ v_t &= Δv - uv, \end{align*} is considered under the boundary conditions $\frac{\partial u}{\partialν}…
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…