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

T. Takahashi

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arXiv · 2004.00781

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

T. Takahashi

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Abstract

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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T. Takahashi. 2020-04-02. Attainability of a stationary Navier-Stokes flow around a rigid body rotating from rest. https://arxiv.org/abs/2004.00781

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