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Science China Mathematics

, Volume 62, Issue 6, pp 1219–1232 | Cite as

Enhanced dissipation for the Kolmogorov flow via the hypocoercivity method

  • Dongyi Wei
  • Zhifei ZhangEmail author
Articles
  • 35 Downloads

Abstract

In this paper, we solve Beck and Wayne’s conjecture on the optimal enhanced dissipation rate for the 2-D linearized Navier-Stokes equations around the bar state called the Kolmogorov flow by developing the hypocoercivity method introduced by Villani (2009).

Keywords

Navier-Stokes equations Kolmogorov flow enhanced dissipation hypocoercivity method 

MSC(2010)

35Q35 35Q30 

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Notes

Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant No. 11425103).

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Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Mathematical SciencesPeking UniversityBeijingChina

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