Chemotaxis-consumption interaction: Solvability and asymptotics in general high-dimensional domains
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866929729309769728 |
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| author | Lankeit, Johannes Winkler, Michael |
| author_facet | Lankeit, Johannes Winkler, Michael |
| contents | The basic chemotaxis-consumption model \[
u_t = Δu - \nabla \cdot(u\nabla v),\qquad\qquad v_t = Δv - uv \] is considered in general, possibly non-convex bounded domains of arbitrary spatial dimension. Global existence of weak solutions is shown, along with eventual smoothness of solutions and their stabilization in the large time limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17338 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chemotaxis-consumption interaction: Solvability and asymptotics in general high-dimensional domains Lankeit, Johannes Winkler, Michael Analysis of PDEs 35B40 (primary), 35K51, 35D30, 35Q92, 92C17 (secondary) The basic chemotaxis-consumption model \[ u_t = Δu - \nabla \cdot(u\nabla v),\qquad\qquad v_t = Δv - uv \] is considered in general, possibly non-convex bounded domains of arbitrary spatial dimension. Global existence of weak solutions is shown, along with eventual smoothness of solutions and their stabilization in the large time limit. |
| title | Chemotaxis-consumption interaction: Solvability and asymptotics in general high-dimensional domains |
| topic | Analysis of PDEs 35B40 (primary), 35K51, 35D30, 35Q92, 92C17 (secondary) |
| url | https://arxiv.org/abs/2502.17338 |