5 citations · 13 across the 16 of their papers we have counts for
23 papers · 1 filter
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…
Generalized solutions to a chemotaxis-Navier-Stokes system with arbitrary superlinear degradation
Mengyao Ding, Johannes Lankeit
In this work, we study a chemotaxis-Navier-Stokes model in a two-dimensional setting as below, \begin{eqnarray} \left\{ \begin{array}{llll} \displaystyle n_{t}+\mathbf{u}\cdot\nabl…
Finite-time blow-up in the three-dimensional fully parabolic attraction-dominated attraction-repulsion chemotaxis system
Johannes Lankeit
We show that the attraction-repulsion chemotaxis system \begin{equation*} \begin{cases} u_t = Δu - χ\nabla\cdot(u\nabla v_1) + ξ\nabla\cdot(u\nabla v_2)\\ \partial_t v_1 = Δv_1 - β…
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…
Long-term behaviour in a parabolic-elliptic chemotaxis-consumption model
Mario Fuest, Johannes Lankeit, Masaaki Mizukami
Global existence and boundedness of classical solutions of the chemotaxis--consumption system \begin{align*} n_t &= Δn - \nabla \cdot (n \nabla c), \\ 0 &= Δc - nc, \end{align*} un…
The large diffusion limit for the heat equation in the exterior of the unit ball with a dynamical boundary condition
Marek Fila, Kazuhiro Ishige, Tatsuki Kawakami +1
We study the heat equation in the exterior of the unit ball with a linear dynamical boundary condition. Our main aim is to find upper and lower bounds for the rate of convergence t…