On the well-posedness of some model arising in the mathematical biology
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916196018814976 |
|---|---|
| author | Efendiev, Messoud Vougalter, Vitali |
| author_facet | Efendiev, Messoud Vougalter, Vitali |
| contents | In the article we establish the global well-posedness in W^{1, 2, 2}(R\times R^{+}) of the integro-differential equation in the case of the anomalous diffusion when the one dimensional negative Laplace operator is raised to a fractional power in the presence of the transport term. The model is relevant to the cell population dynamics in the Mathematical Biology. Our proof relies on a fixed point technique. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04342 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the well-posedness of some model arising in the mathematical biology Efendiev, Messoud Vougalter, Vitali Analysis of PDEs Mathematical Physics 35R11, 35K57, 35R09 In the article we establish the global well-posedness in W^{1, 2, 2}(R\times R^{+}) of the integro-differential equation in the case of the anomalous diffusion when the one dimensional negative Laplace operator is raised to a fractional power in the presence of the transport term. The model is relevant to the cell population dynamics in the Mathematical Biology. Our proof relies on a fixed point technique. |
| title | On the well-posedness of some model arising in the mathematical biology |
| topic | Analysis of PDEs Mathematical Physics 35R11, 35K57, 35R09 |
| url | https://arxiv.org/abs/2404.04342 |