代国伟

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

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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.