Logarithmically improved blow-up criteria for the 3D Navier-Stokes/Poisson-Nernst-Planck system

被引：0

作者：

Zhao, Jihong ^{[1
]}

Liu, Jiawei ^{[1
]}

Sun, Jianfeng ^{[1
]}

机构：

[1] IMETA

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 1600年 / 1卷 / 44期

关键词：

Electrohydrodynamics; Navier-Stokes equations; Poisson-Nernst-Planck equations; Weak solutions; Regularity criteria; STOKES EQUATIONS; REGULARITY CRITERION; WEAK SOLUTIONS; GRADIENT; FLUID; EULER; MODEL;

D O I：

IMETA

中图分类号：

学科分类号：

摘要：

In this paper, we investigate two sufficient conditions, in terms of the horizontal components u(h)=(u(1),u(2)) of the velocity field, for the breakdown of local smooth solutions to the 3D incompressible Navier-Stokes/Poisson-Nernst-Planck system arising from electrohydrodynamics. More precisely, we prove that if integral(T)(0)& Vert;del(h)u(h)(<middle dot>,t)& Vert;2/1-alpha B-infinity,infinity(-alpha)/1+ln(e+& Vert;del(h)u(h)(<middle dot>,t)& Vert; B-infinity,infinity(-alpha))dt,t)& Vert; B-infinity,infinity/(0)root 1+ln(e+& Vert;del(h)u(h)(<middle dot>,t)& Vert; (B0)infinity,infinity)dtNitrospira act as key bacteria in weakly acidic soil via potential cobalamin sharing

引用

页码：2770-5986 / 2770-596X

页数：4