Global solutions to a two-dimensional chemotaxis-Euler system with robin boundary conditions on oxygen
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914537453649920 |
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| author | Hou, Qianqian |
| author_facet | Hou, Qianqian |
| contents | This paper is concerned with the global well-posedness of a chemotaxis-Euler system in bounded domains of $\mathbb{R}^2$. Completing the system with physical boundary conditions, we show that the corresponding initial boundary value problem admits a unique global solution provided that the initial oxygen concentration is suitably small. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_05740 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Global solutions to a two-dimensional chemotaxis-Euler system with robin boundary conditions on oxygen Hou, Qianqian Analysis of PDEs This paper is concerned with the global well-posedness of a chemotaxis-Euler system in bounded domains of $\mathbb{R}^2$. Completing the system with physical boundary conditions, we show that the corresponding initial boundary value problem admits a unique global solution provided that the initial oxygen concentration is suitably small. |
| title | Global solutions to a two-dimensional chemotaxis-Euler system with robin boundary conditions on oxygen |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2605.05740 |