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

2026/05/07 by Qianqian Hou
#math.AP

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Abstract

This paper is concerned with the global solvability of a chemotaxis-Euler system in bounded domains of ℝ². 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.

Citations

• Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model
• Model for chemotaxis

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