72 citations · 455 across the 28 of their papers we have counts for
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math.AP2019★ 17 cited
Blow-up profiles in quasilinear fully parabolic Keller--Segel systems
Mario Fuest
We examine finite-time blow-up solutions to \begin{align} \label{prob:star} \tag{} \begin{cases} u_t = \nabla \cdot (D(u, v) \nabla u - S(u, v) \nabla v), v_t = Δv…
math.AP2019★ 50 cited
Finite-time blow-up in a two-dimensional Keller--Segel system with an environmental dependent logistic source
Mario Fuest
The Neumann initial-boundary problem for the chemotaxis system \begin{align} \label{prob:abstract} \tag{} \begin{cases} u_t = Δu - \nabla \cdot (u \nabla v) + κ(|x|) u - μ(|…
math.AP2019★ 72 cited
Analysis of a chemotaxis model with indirect signal absorption
Mario Fuest
We consider the chemotaxis model \begin{align*} \begin{cases} u_t = Δu - \nabla \cdot (u \nabla v), \\ v_t = Δv - vw, \\ w_t = -δw + u \end{cases} \end{align*} in smooth, bounded d…