论文标题
围绕移动身体的常规时间周期粘性流的存在，独特性和渐近行为
Existence, Uniqueness and Asymptotic Behavior of Regular Time-Periodic Viscous Flow around a Moving Body
论文作者
论文摘要
我们显示了对刚性主体（$ \ Mathscr b $）的Navier-Stokes问题的常规时间周期解决方案的存在和独特性，该解决方案以任意（足够平滑）同一时期的时间周期性翻译运动移动，提供数据的大小是适当限制的。 Moreover, we characterize the spatial asymptotic behavior of such solutions and prove, in particular, that if $\mathscr B$ has a nonzero net motion identified by a constant velocity $\bar{\mathbfξ}$ (say), then the solution exhibit a wake-like behavior in the direction $-\bar{\mathbfξ}$ entirely analogous to that of a steady-state flow around a body that用速度$ \ bar {\mathbfξ} $移动。
We show existence and uniqueness of regular time-periodic solutions to the Navier-Stokes problem in the exterior of a rigid body, $\mathscr B$, that moves by arbitrary (sufficiently smooth) time-periodic translational motion of the same period, provided the size of the data is suitably restricted. Moreover, we characterize the spatial asymptotic behavior of such solutions and prove, in particular, that if $\mathscr B$ has a nonzero net motion identified by a constant velocity $\bar{\mathbfξ}$ (say), then the solution exhibit a wake-like behavior in the direction $-\bar{\mathbfξ}$ entirely analogous to that of a steady-state flow around a body that moves with velocity $\bar{\mathbfξ}$.
