数学季刊 ›› 2019, Vol. 34 ›› Issue (3): 323-330.doi: 10.13371/j.cnki.chin.q.j.m.2019.03.010

• • 上一篇    

三维Boussinesq流体方程组压力的正则性准则

  

  1. Huanghe Jiaotong University
  • 收稿日期:2019-07-15 出版日期:2019-09-30 发布日期:2020-08-23

A Regularity Criterion Via the Pressure on the Three-dimensional Boussinesq Fluid Equations

  1. Huanghe Jiaotong University
  • Received:2019-07-15 Online:2019-09-30 Published:2020-08-23
  • About author:LI Xiao(1991-), femal, native of Fanxian, Henan, graduate student, engages in partial differential equations and applications; LI Ying-chao(1989-), male, native of Zhecheng, Henan, graduate student,engages in research on model construction.
  • Supported by:
    Supported by Youth Science Foundation Project Research(NO.11601128)

Abstract: In this paper,we investigate the regularity criterion via the pressure of weak solutions to the Boussinesq fluid equations in three dimensions.We obtain that for ,then the weak solution(u,θ) is regular on(0,T]. 

Key words: Boussinesq °uid equations, pressure, partial derivative

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