Strong solution for polymeric fluid-structure interaction with small initial acceleration
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908595543605248 |
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| author | Mensah, Prince Romeo |
| author_facet | Mensah, Prince Romeo |
| contents | We consider the problem of a 3D-3D-2D mutually coupled solute-solvent-structure three-states system. This describes the interaction of a flexible structure with a polymeric fluid of classical Oldroyd-B type without centre-of-mass diffusion. We construct a unique higher-order regularity notion of a strong solution for the system by decoupling the solute from the solvent-structure subsystem, solving the decoupled system individually, and glueing the solutions through a fixed-point argument. As a requirement for the construction, we rely on a maximal regularity result for the Stokes problem on moving domains with non-trivial boundary conditions; a result that is also of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_13753 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Strong solution for polymeric fluid-structure interaction with small initial acceleration Mensah, Prince Romeo Analysis of PDEs We consider the problem of a 3D-3D-2D mutually coupled solute-solvent-structure three-states system. This describes the interaction of a flexible structure with a polymeric fluid of classical Oldroyd-B type without centre-of-mass diffusion. We construct a unique higher-order regularity notion of a strong solution for the system by decoupling the solute from the solvent-structure subsystem, solving the decoupled system individually, and glueing the solutions through a fixed-point argument. As a requirement for the construction, we rely on a maximal regularity result for the Stokes problem on moving domains with non-trivial boundary conditions; a result that is also of independent interest. |
| title | Strong solution for polymeric fluid-structure interaction with small initial acceleration |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.13753 |