On the asymptotic structure of a Navier-Stokes flow past a rotating body

Mads Kyed

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On the asymptotic structure of a Navier-Stokes flow past a rotating body

机译：绕旋转体的Navier-Stokes流的渐近结构

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摘要

Consider a rigid body moving with a prescribed constant non-zero velocity and rotating with a prescribed constant non-zero angular velocity in a three-dimensional Navier-Stokes liquid. The asymptotic structure of a steady-state solution to the corresponding equations of motion is analyzed. In particular, an asymptotic expansion of the corresponding velocity field is obtained.

机译：考虑在三维Navier-Stokes液体中以规定的恒定非零速度运动并以规定的恒定非零角速度旋转的刚体。分析了相应运动方程的稳态解的渐近结构。特别地，获得了相应速度场的渐近扩展。

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来源
《Journal of the Mathematical Society of Japan》 |2014年第1期|1-16|共16页
作者
Mads Kyed;
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作者单位

Technische Universitaet Darmstadt Schlossgartenstr. 7 64289 Darmstadt, Germany;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
steady-state Navier-Stokes equations; rotating frame; asymptotic expansion;

机译：稳态Navier-Stokes方程;旋转架渐近展开;

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1. ASYMPTOTIC STRUCTURE OF A LERAY SOLUTION TO THE NAVIER-STOKES FLOW AROUND A ROTATING BODY [J] . REINHARD FARWIG, GIOVANNI P. GALDI, MADS KYED Pacific journal of mathematics . 2011,第2期

机译：旋转体周围Navigs-Stokes的Leray解的渐近结构
2. Asymptotic profile of a linearized navier-stokes flow past a rotating body [J] . Kyed M. Quarterly of Applied Mathematics . 2013,第3期

机译：线性化的变态尾流流过旋转体的渐近轮廓
3. Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity [J] . Deuring Paul, Kracmar Stanislav, Necasova Sarka ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 2017,第1期

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4. Unsteady flow simulation around a moving body by an unstructured Navier-Stokes solver [C] . Yohei Sato, Takanori Hino, Munehiko Hinatsu Numerical Towing Tank Symposium . 2003

机译：一个非结构化的Navier-Stokes Solver在移动的身体周围的不稳定流模拟
5. Asymptotic Approximation of Fluid Flows from the Compressible Navier-Stokes Equations [D] . Welter, Roland Kuha. 2021

机译：从压缩Navier-Stokes方程式流体流动的渐近近似
6. Small viscosity asymptotics for the inertial range of local structure and for the wall region of wall-bounded turbulent shear flow. [O] . G I Barenblatt, A J Chorin 1996

机译：对于局部结构的惯性范围和有边界的湍流剪切流的壁区域其粘度渐近较小。
7. On the asymptotic structure of a Navier-Stokes flow past a rotating body [O] . Mads KYED 2014

机译：在Navier-Stokes流过旋转体的渐近结构
8. TIME-ASYMPTOTIC SOLUTIONS OF THE NAVIER-STOKES EQUATIONS FOR FREE SHEAR FLOWS USING AN ALTERNATING-DIRECTION IMPLICIT METHOD [R] . David H. Rudy, Dana J. Morris 1976

机译：用交替方向隐式方法求解自由剪切流的Navier-stokes方程的时间渐近解

On the asymptotic structure of a Navier-Stokes flow past a rotating body

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