The Immersed Inextensible Interface Problem in 2D Stokes Flow
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910434929410048 |
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| author | García-Juárez, Eduardo Kuo, Po-Chun Mori, Yoichiro |
| author_facet | García-Juárez, Eduardo Kuo, Po-Chun Mori, Yoichiro |
| contents | We study the dynamics of an inextensible, closed interface subject to bending forces and immersed in a two-dimensional and incompressible Stokes fluid. We formulate the problem as a boundary integral equation in terms of the tangent angle and demonstrate the well-posedness in suitable time-weighted spaces of the resulting nonlinear and nonlocal system. The solution is furthermore shown to be smooth for positive times. Numerical computations are performed to initiate the study of the long-time behavior of the interface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02446 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Immersed Inextensible Interface Problem in 2D Stokes Flow García-Juárez, Eduardo Kuo, Po-Chun Mori, Yoichiro Analysis of PDEs We study the dynamics of an inextensible, closed interface subject to bending forces and immersed in a two-dimensional and incompressible Stokes fluid. We formulate the problem as a boundary integral equation in terms of the tangent angle and demonstrate the well-posedness in suitable time-weighted spaces of the resulting nonlinear and nonlocal system. The solution is furthermore shown to be smooth for positive times. Numerical computations are performed to initiate the study of the long-time behavior of the interface. |
| title | The Immersed Inextensible Interface Problem in 2D Stokes Flow |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.02446 |