Journal of University of Science and Technology of China ›› 2018, Vol. 48 ›› Issue (5): 361-366.DOI: 10.3969/j.issn.0253-2778.2018.05.003

• Original Paper • Previous Articles     Next Articles

Optimal algebraic decay of solutions for 2D Navier-Stokes equations with partial dissipation

ZHANG Zhaoyun, XIE Qianqian, JIA Yan, DONG Boqing   

  1. School of Mathematical Sciences, Anhui University, Hefei 230601, China
  • Received:2017-08-30 Revised:2018-01-25 Accepted:2018-01-25 Online:2018-05-31 Published:2018-01-25

Abstract: The optimal algebraic decay of solutions for two-dimensional Navier-Stokes equation with partial dissipation was studied. By developing the classic Fourier splitting methods together with inductive methods, the higher-order derivatives of solutions in the optimal algebraic rates was obtained.

Key words: Navier-Stokes equations, partial dissipation, Fourier splitting methods, optimal algebraic decay

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