A numerical scheme for a multi-scale model of thrombus in arteries
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910834987368448 |
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| author | Kim, Woojeong |
| author_facet | Kim, Woojeong |
| contents | In this article, the time-discretization of the fluid structure interaction model in the three-dimensional boundary domain is taken into account, which explains the mechanical interaction between the blood flow and the Hookean elasticity. The interface between the two phases is given by a soft transition layer and spreads to the finite thickness. On the implicit Euler scheme for this discretization, We derive a variety of priori estimates and then use the Faedo-Galerkin method to prove the local well-poseedness results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15335 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A numerical scheme for a multi-scale model of thrombus in arteries Kim, Woojeong Numerical Analysis In this article, the time-discretization of the fluid structure interaction model in the three-dimensional boundary domain is taken into account, which explains the mechanical interaction between the blood flow and the Hookean elasticity. The interface between the two phases is given by a soft transition layer and spreads to the finite thickness. On the implicit Euler scheme for this discretization, We derive a variety of priori estimates and then use the Faedo-Galerkin method to prove the local well-poseedness results. |
| title | A numerical scheme for a multi-scale model of thrombus in arteries |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2501.15335 |