Finite-time blow-up prevention in a two-dimensional chemotaxis-consumption model with weakly singular sensitivity

Giuseppe Viglialoro

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arXiv · 1812.02040

Finite-time blow-up prevention in a two-dimensional chemotaxis-consumption model with weakly singular sensitivity

Giuseppe Viglialoro

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Abstract

In this paper we study a two-dimensional chemotaxis-consumption system with singular sensitivity and endowed with Neumann boundary conditions. Sufficient conditions on the data of the problem are given so that the globability of classical solutions is shown, thus excluding any finite-time blow-up scenario.

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Giuseppe Viglialoro. 2018-12-05. Finite-time blow-up prevention in a two-dimensional chemotaxis-consumption model with weakly singular sensitivity. https://arxiv.org/abs/1812.02040

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