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arXiv · 2001.07292

Attainability of Time-Periodic flow of a Viscous Liquid Past an Oscillating Body

Giovanni P. Galdi·Toshiaki Hishida
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Abstract

A body $\mathscr B$ is started from rest by translational motion in an otherwise quiescent Navier-Stokes liquid filling the whole space. We show, for small data, that if after some time $\mathscr B$ reaches a spinless oscillatory motion of period $\cal T$, the liquid will eventually execute also a time periodic motion with same period $\cal T$. This problem is a suitable generalization of the famous Finn's starting problem for steady-states, to the case of time-periodic motions

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Giovanni P. Galdi, Toshiaki Hishida. 2020-01-21. Attainability of Time-Periodic flow of a Viscous Liquid Past an Oscillating Body. https://arxiv.org/abs/2001.07292

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