论文标题

固定的Navier-Stokes的可实现能力围绕着静止旋转的刚体旋转

Attainability of a stationary Navier-Stokes flow around a rigid body rotating from rest

论文作者

Takahashi, T.

论文摘要

我们认为三维纳维尔 - 螺旋杆的巨大时间行为围绕旋转的刚体流动。假设身体的角速度逐渐增加,直到在一定有限的时间到达一个小端子,然后固定。然后,我们证明流体运动作为时间$ t \ rightarrow \ infty $会收敛到稳定的解决方案。

We consider the large time behavior of the three-dimensional Navier-Stokes flow around a rotating rigid body. Assume that the angular velocity of the body gradually increases until it reaches a small terminal one at a certain finite time and it is fixed afterwards. We then show that the fluid motion converges to a steady solution as time $t\rightarrow\infty$.

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