Remark on the Lifespan of Solutions to 3-D Anisotropic Navier Stokes Equations

Authors

  • Siyu Liang Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China.
  • Ping Zhang Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China.
  • Rongchan Zhu Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China.

DOI:

https://doi.org/10.4208/cmr.2020-0002

Keywords:

Anisotropic Navier-Stokes system, Littlewood-Paley theory, lifespan.

Abstract

The goal of this article is to provide a lower bound for the lifespan of smooth solutions to 3-D anisotropic incompressible Navier-Stokes system, which in particular extends a similar type of result for the classical 3-D incompressible Navier-Stokes system.

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Published

2020-03-17

Issue

Vol. 36 No. 1 (2020)

Section

Articles