Acta mathematica scientia,Series A ›› 2022, Vol. 42 ›› Issue (5): 1416-1423.

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Long Time Existence of the Solutions for the Navier-Stokes-Coriolis Equations

Xiaochun Sun(),Gangjing He*()   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070
  • Received:2021-07-30 Online:2022-10-26 Published:2022-09-30
  • Contact: Gangjing He E-mail:sunxiaochun@nwnu.edu.cn;jingjing16340414@163.com
  • Supported by:
    he NSFC(11601434)

Abstract:

In this paper, we proved the long time existence of classical solutions to the incompressible Navier-Stokes-Coriolis equation in the Sobolev space $ H^{s}(s>4) $. Here we obtained the classical solutions via Littlewood-Paley decomposition, Strichartz estimate and high and low frequency decomposition methods.

Key words: Navier-Stokes-Coriolis equations, Strichartz estimate, Littlewood-Paley decomposition

CLC Number: 

  • O174.22
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