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Nonlinear stability of Taylor’s vortex array

 

作者: S. P. Lin,   M. Tobak,  

 

期刊: Physics of Fluids(00319171)  （AIP Available online 1987）
卷期: Volume 30, issue 2  

页码: 605-606

 

ISSN:0031-9171

 

年代: 1987

 

DOI:10.1063/1.866522

 

出版商: AIP

 

数据来源: AIP

 

摘要:

It is proved that the two‐dimensional Taylor vortex array, which is an exact unsteady solution of the Navier–Stokes equation, is globally and asymptotically stable in the mean with respect to three‐dimensional periodic disturbances. A time‐dependent bound on the decay rate of the kinetic energy of disturbances is obtained.

 

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