Chinese Quarterly Journal of Mathematics ›› 2020, Vol. 35 ›› Issue (4): 418-423.doi: 10.13371/j.cnki.chin.q.j.m.2020.04.010

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Regularity Criterion of Weak Solutions to the 3D Micropolar Fluid Equations in Besov Space

  

  1. Department of Mathematics Teaching and Research, Huanghe Jiaotong University, Henan, 454000,
    China
  • Received:2020-04-10 Online:2020-12-30 Published:2021-01-06
  • About author: LI Xiao(1991-), femal, native of Fanxian, Henan, graduate student, engages in partial differential equations and applications.

Abstract: This paper studies the regularity criterion of weak solutions to the micropolar
fluid equations in three dimensions. Let (∇u∈L 2/ 2- γ (0,T; ˙B- γ ∞,∞),∇ω ∈L2(0,T; ˙B-1 ∞,∞), it
is showed that the weak solution (u,ω) is globally regular for the case 0< γ <2.

Key words: Micropolar fluid equations, Regularity criteria, Besov space

CLC Number: