Global entropy solutions to a degenerate parabolic-parabolic chemotaxis system for flux-limited dispersal
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929335260151808 |
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| author | Zhigun, Anna |
| author_facet | Zhigun, Anna |
| contents | Existence of global finite-time bounded entropy solutions to a parabolic-parabolic system proposed in [16] is established in bounded domains under no-flux boundary conditions for nonnegative bounded initial data. This modification of the classical Keller-Segel model features degenerate diffusion and chemotaxis that are both subject to flux-saturation. The approach is based on Schauder's fixed point theorem and calculus of functions of bounded variation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03887 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global entropy solutions to a degenerate parabolic-parabolic chemotaxis system for flux-limited dispersal Zhigun, Anna Analysis of PDEs 26B30 35K55 35K65 35M30 35Q92 92C17 Existence of global finite-time bounded entropy solutions to a parabolic-parabolic system proposed in [16] is established in bounded domains under no-flux boundary conditions for nonnegative bounded initial data. This modification of the classical Keller-Segel model features degenerate diffusion and chemotaxis that are both subject to flux-saturation. The approach is based on Schauder's fixed point theorem and calculus of functions of bounded variation. |
| title | Global entropy solutions to a degenerate parabolic-parabolic chemotaxis system for flux-limited dispersal |
| topic | Analysis of PDEs 26B30 35K55 35K65 35M30 35Q92 92C17 |
| url | https://arxiv.org/abs/2401.03887 |