论文标题
粘性液体的时周期流量的可实现能力经过振荡的身体
Attainability of Time-Periodic flow of a Viscous Liquid Past an Oscillating Body
论文作者
论文摘要
主体$ \ mathscr b $是通过翻译运动开始的，在原本静止的navier-stokes液体中填充整个空间。对于小数据，我们显示，如果一段时间后$ \ mathscr b $达到了$ \ cal t $的无旋转振荡运动，则液体最终将执行带有同期$ \ cal t $的时间定期运动。这个问题是对时间周期性动作的著名芬兰人开始问题的合适概括
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
