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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2401.14337 |
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| _version_ | 1866910701496303616 |
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| author | Mensah, Prince Romeo |
| author_facet | Mensah, Prince Romeo |
| contents | We consider the Oldroyd-B model for a two-dimensional dilute corotational polymer fluid with center-of-mass diffusion that is interacting with a one-dimensional viscoelastic shell. We show that any family of strong solutions of the system described above that is parametrized by the center-of-mass diffusion coefficient converges, as the coefficient goes to zero, to a weak solution of a corotational polymer fluid-structure interaction system without center-of-mass diffusion but with essentially bounded polymer number density and extra stress tensor. As a consequence, we also obtain a weak-strong uniqueness result that says that the weak solution of the latter is unique in the class of the strong solution of the former as the center-of-mass diffusion vanishes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14337 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vanishing center-of-mass limit of the 2D-1D corotational Oldroyd-B polymeric fluid-structure interaction problem Mensah, Prince Romeo Analysis of PDEs We consider the Oldroyd-B model for a two-dimensional dilute corotational polymer fluid with center-of-mass diffusion that is interacting with a one-dimensional viscoelastic shell. We show that any family of strong solutions of the system described above that is parametrized by the center-of-mass diffusion coefficient converges, as the coefficient goes to zero, to a weak solution of a corotational polymer fluid-structure interaction system without center-of-mass diffusion but with essentially bounded polymer number density and extra stress tensor. As a consequence, we also obtain a weak-strong uniqueness result that says that the weak solution of the latter is unique in the class of the strong solution of the former as the center-of-mass diffusion vanishes. |
| title | Vanishing center-of-mass limit of the 2D-1D corotational Oldroyd-B polymeric fluid-structure interaction problem |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.14337 |