The transition problem between time-independent motions of a body in a viscous liquid
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2025
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| _version_ | 1866910194839060480 |
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| author | Galdi, Giovanni P. Hishida, Toshiaki |
| author_facet | Galdi, Giovanni P. Hishida, Toshiaki |
| contents | A body $\mathscr B$ moves in an unbounded Navier-Stokes liquid by time-independent translatory motion. Suppose that at time $t=0$, $\mathscr B$ smoothly changes its motion to an arbitrary rigid motion, reached at time $t=1$. We then show that the associated Navier-Stokes problem has a unique solution connecting the two steady-states generated by the motion of $\mathscr B$, provided all the involved velocities of $\mathscr B$ are sufficiently small. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00571 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The transition problem between time-independent motions of a body in a viscous liquid Galdi, Giovanni P. Hishida, Toshiaki Analysis of PDEs 35Q30, 76D05 A body $\mathscr B$ moves in an unbounded Navier-Stokes liquid by time-independent translatory motion. Suppose that at time $t=0$, $\mathscr B$ smoothly changes its motion to an arbitrary rigid motion, reached at time $t=1$. We then show that the associated Navier-Stokes problem has a unique solution connecting the two steady-states generated by the motion of $\mathscr B$, provided all the involved velocities of $\mathscr B$ are sufficiently small. |
| title | The transition problem between time-independent motions of a body in a viscous liquid |
| topic | Analysis of PDEs 35Q30, 76D05 |
| url | https://arxiv.org/abs/2503.00571 |