On the well-posedness of a certain model with two kernels appearing in the mathematical biology
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914314634395648 |
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| author | Efendiev, Messoud Vougalter, Vitali |
| author_facet | Efendiev, Messoud Vougalter, Vitali |
| contents | The work is devoted to establishing the global well-posedness in $W^{(1,2),2}(R\times R^{+})$ of the integro-differential problem involving the two nonlocal terms describing the diffusion and the production in the biological system in the presence of the transport term. Such model is relevant to the cell population dynamics in the Mathematical Biology. The proof is based on a fixed point technique. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_08102 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the well-posedness of a certain model with two kernels appearing in the mathematical biology Efendiev, Messoud Vougalter, Vitali Analysis of PDEs 35K57, 45K05, 92D25 The work is devoted to establishing the global well-posedness in $W^{(1,2),2}(R\times R^{+})$ of the integro-differential problem involving the two nonlocal terms describing the diffusion and the production in the biological system in the presence of the transport term. Such model is relevant to the cell population dynamics in the Mathematical Biology. The proof is based on a fixed point technique. |
| title | On the well-posedness of a certain model with two kernels appearing in the mathematical biology |
| topic | Analysis of PDEs 35K57, 45K05, 92D25 |
| url | https://arxiv.org/abs/2602.08102 |