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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.AP2026
Refined temporal asymptotics near blow-up points in the planar Keller-Segel system
Frederic Heihoff, Michael Winkler
For the Keller-Segel system \[ \left\{\, \begin{aligned} u_t &= Δu - \nabla \cdot ( u \nabla v ), \\ v_t &= Δv - v + u \end{aligned} \right. \tag{} \] posed in a planar doma…