标题： 一个粘性液体中物体的非定常运动之间的转换问题 显示英文标题

标题： The transition problem between time-independent motions of a body in a viscous liquid

摘要： 一个物体$\mathscr B$在无限的纳维-斯托克斯液体中以时间不变的平动运动。 假设在时间$t=0$，$\mathscr B$平滑地将其运动改变为任意刚体运动，在时间$t=1$达到。 然后我们证明，如果所有涉及的$\mathscr B$的速度足够小，那么相关的纳维-斯托克斯问题有一个唯一解，连接由$\mathscr B$的运动产生的两个稳态。 显示英文摘要

摘要： 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.