围绕从静止旋转的刚体的静止Navier-Stokes流的可得性

IF 0.7 4区数学 Q2 MATHEMATICS

Funkcialaj Ekvacioj-Serio Internacia Pub Date : 2020-04-02 DOI:10.1619/fesi.65.111

T. Takahashi

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引用次数: 6

摘要

我们考虑了旋转刚体周围三维Navier-Stokes流动的大时间行为。假设物体的角速度逐渐增加，直到它在某个有限时间到达一个小的终端速度，然后它是固定的。然后我们证明，随着时间$t\rightarrow\infty$，流体运动收敛于稳定解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Attainability of a Stationary Navier-Stokes Flow around a Rigid Body Rotating from Rest

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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