三维耗散型电流体动力学系统弱解的正则性准则

数学物理学报 ›› 2018, Vol. 38 ›› Issue (3): 549-564.

三维耗散型电流体动力学系统弱解的正则性准则

赵继红^1,2

1 宝鸡文理学院数学与信息科学学院陕西宝鸡 721013;
2 西北农林科技大学理学院应用数学研究所陕西杨凌 712100

收稿日期:2016-10-31 修回日期:2017-10-16 出版日期:2018-06-26 发布日期:2018-06-26
作者简介:赵继红,E-mail:jihzhao@163.com
基金资助:
国家自然科学基金（11501453）和陕西省自然科学基础研究计划-青年人才项目（2015JQ1004）

Logarithmical Regularity Criteria in Terms of Pressure for the Three Dimensional Dissipative System Modeling Electro-Hydrodynamics

Zhao Jihong^1,2

1 School of Mathematics and Information Science, Baoji University of Arts and Sciences, Shaanxi Baoji 721013;
2 Institute of Applied Mathematics, College of Science, Northwest A & F University, Shaanxi Yangling 712100

Received:2016-10-31 Revised:2017-10-16 Online:2018-06-26 Published:2018-06-26
Supported by:
Supported by the NSFC (11501453) and the Fundamental Research Project of Natural Science Foundation of Shaanxi Province-Young Talent Project (2015JQ1004)

摘要/Abstract

摘要： 该文主要建立了三维Navier-Stokes/Poisson-Nernst-Planck系统弱解在齐次Besov空间中与压力以及压力梯度相关的对数型正则性准则.

关键词: 电流体动力学, Navier-Stokes/Poisson-Nernst-Planck系统, 正则性准则

Abstract: In this paper, logarithmically improved regularity criteria for the Navier-Stokes/Poisson-Nernst-Planck system are established in terms of both the pressure and the gradient of pressure in the homogeneous Besov spaces.

Key words: Electro-hydrodynamics, Navier-Stokes/Poisson-Nernst-Planck equations, Regularity criteria

中图分类号:

O175.23

赵继红. 三维耗散型电流体动力学系统弱解的正则性准则[J]. 数学物理学报, 2018, 38(3): 549-564.

Zhao Jihong. Logarithmical Regularity Criteria in Terms of Pressure for the Three Dimensional Dissipative System Modeling Electro-Hydrodynamics[J]. Acta mathematica scientia,Series A, 2018, 38(3): 549-564.

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