Regularity Criterion for Weak Solution to the 3D Micropolar Fluid Equations

[摘要] Regularity criterion for the 3D micropolar fluid equations is investigated. We prove that, for someT>0, if∫0T∥vx3∥Lϱρdt<∞, where3/ϱ+2/ρ≤1andϱ≥3, then the solution(v,w)can be extended smoothly beyondt=T. The derivativevx3can be substituted with any directional derivative ofv.

[学科分类] 应用数学