J. Lankeit

activity

20122025

most citedBoundedness in a chemotaxis-haptotaxis model with nonlinear diffusion

138 citations · 518 across the 49 of their papers we have counts for

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Showing 2014 · math.APShow all

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math.AP2014

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 $u_{t} = Δ u - \nabla \cdot (u \nabla v) + κ u - μ u^{2}$ $v_{t} = Δ v - v + u$ under homogeneous Neumann boundary conditions in…

math.AP2014

Chemotaxis can prevent thresholds on population density

Johannes Lankeit

We define and (for $q > n$ ) prove uniqueness and an extensibility property of $W^{1, q}$ -solutions to $u_{t} = - \nabla \cdot (u \nabla v) + κ u - μ u^{2}$ $0 = Δ v - v + u$ $\partial_νv|_{\partialΩ} = \…