Global solvability to a two-dimensional chemotaxis-Euler system with Robin boundary conditions on oxygen

Qianqian Hou

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arXiv · 2605.05740

Global solvability to a two-dimensional chemotaxis-Euler system with Robin boundary conditions on oxygen

Qianqian Hou

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Abstract

This paper is concerned with the global solvability of a chemotaxis-Euler system in bounded domains of $\mathbb{R}^2$. Completing the system with physical boundary conditions, we firstly prove local well-posedness of the corresponding initial-boundary value problem and then present some blow-up criteria. We also show that the local solutions can be extended globally in time under suitable smallness assumptions on initial and boundary data.

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Qianqian Hou. 2026-05-07. Global solvability to a two-dimensional chemotaxis-Euler system with Robin boundary conditions on oxygen. https://arxiv.org/abs/2605.05740

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