个人信息Personal Information
教授
博士生导师
硕士生导师
性别:男
毕业院校:西北师范大学
学位:博士
所在单位:数学科学学院
学科:应用数学. 基础数学
办公地点:B1409
联系方式:大连理工大学创新园大厦
电子邮箱:daiguowei@dlut.edu.cn
On the 3D Navier-Stokes equations with regularity in pressure
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论文类型:期刊论文
发表时间:2018-02-01
发表刊物:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
收录刊物:SCIE、Scopus
卷号:458
期号:1
页面范围:497-507
ISSN号:0022-247X
关键字:3D Navier Stokes equations; Leray-Hopf weak solution; Regularity criteria; Anisotropic Lebesgue spaces
摘要:In this paper, we investigate the global regularity of Leray-Hopf weak solutions to the 3D Navier-Stokes equations in terms of pressure. In particular, we establish three Serrin-type regularity criteria in framework of the anisotropic Lebesgue spaces. Our result can be understood as a generalization of the notable works of Y. Zhou (2006) [23], C. Cao and E. Titi (2008) [5], and Y. Zhou and M. PokornS, (2010) [24]. (C) 2017 Published by Elsevier Inc.