Dissipative gradient nonlinearities prevent $δ$-formations in local and nonlocal attraction-repulsion chemotaxis models
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929336459722752 |
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| author | Li, Tongxing Soba, Daniel Acosta Columbu, Alessandro Viglialoro, Giuseppe |
| author_facet | Li, Tongxing Soba, Daniel Acosta Columbu, Alessandro Viglialoro, Giuseppe |
| contents | We study some attraction repulsion chemotaxis models, characterized by nonlinearities laws for the diffusion of the cell density, and for the chemosensitivities and the production rates of the chemoattractant and the chemorepellent. Additionally, a source also involving some expression of the gradient of the species is incorporated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03586 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dissipative gradient nonlinearities prevent $δ$-formations in local and nonlocal attraction-repulsion chemotaxis models Li, Tongxing Soba, Daniel Acosta Columbu, Alessandro Viglialoro, Giuseppe Analysis of PDEs We study some attraction repulsion chemotaxis models, characterized by nonlinearities laws for the diffusion of the cell density, and for the chemosensitivities and the production rates of the chemoattractant and the chemorepellent. Additionally, a source also involving some expression of the gradient of the species is incorporated. |
| title | Dissipative gradient nonlinearities prevent $δ$-formations in local and nonlocal attraction-repulsion chemotaxis models |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.03586 |