Nonsymmetric traveling wave solution to a Hele-Shaw type tumor growth model
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915280928636928 |
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| author | Feng, Yu He, Qingyou Liu, Jian-Guo Zhou, Zhennan |
| author_facet | Feng, Yu He, Qingyou Liu, Jian-Guo Zhou, Zhennan |
| contents | We consider a Hele-Shaw model that describes tumor growth subject to nutrient supply. The model is derived by taking the incompressible limit of porous medium type equations, and the boundary instability of this model was recently studied in \cite{feng2022tumor} using asymptotic analysis. In this paper, we further prove the existence of nonsymmetric traveling wave solutions to the model in a two dimensional tube-like domain, which reflect intrinsic boundary instability in tumor growth dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16353 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonsymmetric traveling wave solution to a Hele-Shaw type tumor growth model Feng, Yu He, Qingyou Liu, Jian-Guo Zhou, Zhennan Analysis of PDEs 35R35, 76D27, 92C10, 70K50 We consider a Hele-Shaw model that describes tumor growth subject to nutrient supply. The model is derived by taking the incompressible limit of porous medium type equations, and the boundary instability of this model was recently studied in \cite{feng2022tumor} using asymptotic analysis. In this paper, we further prove the existence of nonsymmetric traveling wave solutions to the model in a two dimensional tube-like domain, which reflect intrinsic boundary instability in tumor growth dynamics. |
| title | Nonsymmetric traveling wave solution to a Hele-Shaw type tumor growth model |
| topic | Analysis of PDEs 35R35, 76D27, 92C10, 70K50 |
| url | https://arxiv.org/abs/2404.16353 |