Traveling waves with continuous profile for hyperbolic Keller-Segel equation
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914805039759360 |
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| author | Griette, Quentin Magal, Pierre Zhao, Min |
| author_facet | Griette, Quentin Magal, Pierre Zhao, Min |
| contents | This work describes a hyperbolic model for cell-cell repulsion with population dynamics. We consider the pressure produced by a population of cells to describe their motion. We assume that cells try to avoid crowded areas and prefer locally empty spaces far away from the carrying capacity. Here, our main goal is to prove the existence of traveling waves with continuous profiles. This article complements our previous results about sharp traveling waves. We conclude the paper with numerical simulations of the PDE problem, illustrating such a result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_06920 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Traveling waves with continuous profile for hyperbolic Keller-Segel equation Griette, Quentin Magal, Pierre Zhao, Min Analysis of PDEs This work describes a hyperbolic model for cell-cell repulsion with population dynamics. We consider the pressure produced by a population of cells to describe their motion. We assume that cells try to avoid crowded areas and prefer locally empty spaces far away from the carrying capacity. Here, our main goal is to prove the existence of traveling waves with continuous profiles. This article complements our previous results about sharp traveling waves. We conclude the paper with numerical simulations of the PDE problem, illustrating such a result. |
| title | Traveling waves with continuous profile for hyperbolic Keller-Segel equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2204.06920 |