Michael Winkler

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math.AP2026

Preventing $L^{p}$ blow-up by local anisotropy of signal production in the Keller-Segel system with strongly differing diffusion rates

Youshan Tao, Michael Winkler

In a smoothly bounded domain $I^c ◯ \subset R^{n}$ , $n \leq 5$ , the manuscript considers the variant of the Keller-Segel system given by \[ \left\{ \begin{array}{l} u_t = D Îu - \nabla \c…

math.AP2024

Mathematical modeling and analysis of a tumor invasion problem with angiogenesis and taxis cascade

Christina Surulescu, Michael Winkler

We propose a mathematical model for tumor invasion supported by angiogenesis and interactions with the surrounding tissue. For the model deduction we employ a multiscale approach s…

Preventing Lp blow-up by local anisotropy of signal production in the Keller-Segel system with strongly differing diffusion rates

Mathematical modeling and analysis of a tumor invasion problem with angiogenesis and taxis cascade

Preventing $L^{p}$ blow-up by local anisotropy of signal production in the Keller-Segel system with strongly differing diffusion rates