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Exponential decay rate of the power spectrum for solutions of the Navier–Stokes equations

 

作者: Charles R. Doering,   Edriss S. Titi,  

 

期刊: Physics of Fluids  (AIP Available online 1995)
卷期: Volume 7, issue 6  

页码: 1384-1390

 

ISSN:1070-6631

 

年代: 1995

 

DOI:10.1063/1.868526

 

出版商: AIP

 

数据来源: AIP

 

摘要:

Using a method developed by Foias and Temam [J. Funct. Anal.87, 359 (1989)], exponential decay of the spatial Fourier power spectrum for solutions of the incompressible Navier–Stokes equations is established and explicit rigorous lower bounds on a small length scale defined by the exponential decay rate are obtained. ©1995 American Institute of Physics.

 

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