一类不确定薛定谔基尔霍夫方程解的存在性和集中性

doi:10.13371/j.cnki.chin.q.j.m.2020.01.004

数学季刊 ›› 2020, Vol. 35 ›› Issue (1): 46-55.doi: 10.13371/j.cnki.chin.q.j.m.2020.01.004

一类不确定薛定谔基尔霍夫方程解的存在性和集中性

LIU Jiang-jun¹, QU Zhen,HU Gang²

1.Huanghe Jiaotong University, Henan, 454000, China;
2.Faculty of Sciences Xian University of Tech¬nology, Xian 710054, China

收稿日期:2020-10-30 出版日期:2020-03-30 发布日期:2020-08-06
作者简介:LIU Jiang-jun(1981-), male, native of Zhonzhi, Shanxi, instructor, engages in partial dif¬ferential equations and applications; QU Zhen(1982-), male, native of Xiaxian, Henan, instructor, engages in computational mathematics; HU Gang (1979-), male, native of Gaian, Jiangxi, professor, engages in computa¬tional geometry
基金资助:
Supported by the National Natural Science Foundation of China(NO.51305344)

A Regularity Criterion Via the Pressure On the Three-dimensional Micropolar Fluid Equations in Besov Space

LIU Jiang-jun¹, QU Zhen,HU Gang²

1.Huanghe Jiaotong University, Henan, 454000, China;
2.Faculty of Sciences Xian University of Tech¬nology, Xian 710054, China

Received:2020-10-30 Online:2020-03-30 Published:2020-08-06
About author:LIU Jiang-jun(1981-), male, native of Zhonzhi, Shanxi, instructor, engages in partial dif¬ferential equations and applications; QU Zhen(1982-), male, native of Xiaxian, Henan, instructor, engages in computational mathematics; HU Gang (1979-), male, native of Gaian, Jiangxi, professor, engages in computa¬tional geometry
Supported by:
Supported by the National Natural Science Foundation of China(NO.51305344)

摘要/Abstract

摘要： In this paper, we investigate the regularity criterion via the pressure of weak solutions to the micropolar fluid equations in three dimensions. We obtain that for 0 < a < 1 if $p \epsilon L^{\frac{2}{\alpha}} (0,T, \dot{B}_{\infty, \infty}^{\alpha})$, then the weak solution (υ,ω) is regular on (0, T].

关键词: micropolar fluid equations, pressure, regularity criteria, Besov space

Abstract: In this paper, we investigate the regularity criterion via the pressure of weak solutions to the micropolar fluid equations in three dimensions. We obtain that for 0 < a < 1 if $p \epsilon L^{\frac{2}{\alpha}} (0,T, \dot{B}_{\infty, \infty}^{\alpha})$, then the weak solution (υ,ω) is regular on (0, T].

Key words: micropolar fluid equations, pressure, regularity criteria, Besov space

中图分类号:

O213.2

刘讲军, 曲桢, 胡钢. 一类不确定薛定谔基尔霍夫方程解的存在性和集中性 [J]. 数学季刊, 2020, 35(1): 46-55.

LIU Jiang-jun, QU Zhen, HU Gang. A Regularity Criterion Via the Pressure On the Three-dimensional Micropolar Fluid Equations in Besov Space[J]. Chinese Quarterly Journal of Mathematics, 2020, 35(1): 46-55.

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一类不确定薛定谔基尔霍夫方程解的存在性和集中性

A Regularity Criterion Via the Pressure On the Three-dimensional Micropolar Fluid Equations in Besov Space

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