Asymptotic models for viscoelastic one-dimensional blood flow
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910107703443456 |
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| author | Alonso-Orán, Diego Granero-Belinchón, Rafael Pérez, Carlos Yanes |
| author_facet | Alonso-Orán, Diego Granero-Belinchón, Rafael Pérez, Carlos Yanes |
| contents | We derive a unidirectional asymptotic model for one-dimensional blood flow in viscoelastic arteries. We prove local well-posedness of strong solutions in Sobolev spaces for general parameters and mean-zero periodic data. In the purely elastic BBM regime we further establish global existence and exponential decay for sufficiently small initial data. We also present a numerical study of the reduced model, including comparisons across different viscoelastic and amplitude regimes, and discuss the observed dynamics in connection with the continuation criterion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_05679 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Asymptotic models for viscoelastic one-dimensional blood flow Alonso-Orán, Diego Granero-Belinchón, Rafael Pérez, Carlos Yanes Analysis of PDEs Mathematical Physics Fluid Dynamics We derive a unidirectional asymptotic model for one-dimensional blood flow in viscoelastic arteries. We prove local well-posedness of strong solutions in Sobolev spaces for general parameters and mean-zero periodic data. In the purely elastic BBM regime we further establish global existence and exponential decay for sufficiently small initial data. We also present a numerical study of the reduced model, including comparisons across different viscoelastic and amplitude regimes, and discuss the observed dynamics in connection with the continuation criterion. |
| title | Asymptotic models for viscoelastic one-dimensional blood flow |
| topic | Analysis of PDEs Mathematical Physics Fluid Dynamics |
| url | https://arxiv.org/abs/2604.05679 |