On Stationary Navier?Stokes Flows Around a Rotating Obstacle in Two-Dimensions

On Stationary Navier?Stokes Flows Around a Rotating Obstacle in Two-Dimensions
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关于静止纳维?二维绕旋转障碍物的斯托克斯流

DOI:
10.1007/s00205-017-1201-5
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发表时间:
2017
影响因子:
2.5
通讯作者:
Nakahara Yuu
Nakahara Yuu
中科院分区:
数学1区
文献类型:
--
作者:
Higaki Mitsuo;Maekawa Yasunori;Nakahara Yuu

文献摘要

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本文研究了二维定常Navier-Stokes方程对旋转障碍物绕流的描述。当障碍物的转速和外力足够小时,证明了解的存在唯一性及其在空间无穷远处的渐近性态。
We study the two-dimensional stationary Navier–Stokes equations describing the flows around a rotating obstacle. The unique existence of solutions and their asymptotic behavior at spatial infinity are established when the rotation speed of the obstacle and the given exterior force are sufficiently small.