3 papers
math.AP2026
A chemotaxis-consumption model with boundary inflow of a nutrient, steady states
Frederic Heihoff, Piotr Knosalla
In this manuscript we consider the steady state problem for a chemotaxis-consumption model with positive inflow of a nutrient across the boundary. We show that in any bounded smoot…
math.AP2025
The impact of Robin boundary condition on a chemotaxis-consumption-growth model
Piotr Knosalla
We investigate a parabolic-elliptic chemotaxis-consumption-growth system with a Robin boundary condition imposed on the signal. First, we analyse the steady state problem, then we…
math.AP2024
Asymptotics of a chemotaxis-consumption-growth model with nonzero Dirichlet conditions
Piotr Knosalla, Johannes Lankeit
This paper concerns the asymptotics of certain parabolic-elliptic chemotaxis-consumption systems with logistic growth and constant concentration of chemoattractant on the boundary.…