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作者:

Liu, Jitao (Liu, Jitao.) (学者:刘继涛) | Niu, Dongjuan (Niu, Dongjuan.)

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Scopus SCIE

摘要:

In this paper, we investigate the global well-posedness of three-dimensional Navier-Stokes equations with horizontal viscosity under a special symmetric structure: helical symmetry. More precisely, by a revised Ladyzhenskaya-type inequality and utilizing the behavior of helical flows, we prove the global existence and uniqueness of weak and strong solutions to the three-dimensional helical flows. Our result reveals that for the issue of global well-posedness of the viscous helical flows, the horizontal viscosity plays the important role. To some extent, our work can be seen as a generalization of the result by Mahalov et al. (Arch Ration Mech Anal 112(3): 193-222, 1990).

关键词:

Helical symmetry Global well-posedness Navier-Stokes equations Horizontal viscosity

作者机构:

  • [ 1 ] [Liu, Jitao]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Niu, Dongjuan]Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

通讯作者信息:

  • 刘继涛

    [Liu, Jitao]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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来源 :

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

ISSN: 0044-2275

年份: 2017

期: 3

卷: 68

2 . 0 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:66

中科院分区:2

被引次数:

WoS核心集被引频次: 3

SCOPUS被引频次: 3

ESI高被引论文在榜: 0 展开所有

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