Regularity results for 3D shear-thinning fluid flows in terms of the gradient of one velocity component

被引:2
|
作者
Kim, Chungguk [1 ]
Pak, Jisong [1 ]
Sin, Cholmin [2 ]
Baranovskii, Evgenii S. [3 ]
机构
[1] Univ Sci, Pyongyang, North Korea
[2] State Acad Sci, Inst Math, Pyongyang, North Korea
[3] Voronezh State Univ, Voronezh, Russia
来源
关键词
Regularity criterion; Shear-thinning fluid; Generalized Navier-Stokes equations; One component of velocity; Weak solution; Strong solution; NAVIER-STOKES EQUATIONS; GLOBAL REGULARITY; WEAK SOLUTIONS; CRITERION; EXISTENCE;
D O I
10.1007/s00033-024-02210-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we show that a weak solution to 3D shear-thinning flows becomes strong provided that the gradient of one component of velocity belongs to a certain Lebesgue space class.
引用
收藏
页数:14
相关论文
共 50 条
  • [21] A new regularity criterion of weak solutions to the 3D micropolar fluid flows in terms of the pressure
    Gala, Sadek
    Ragusa, Maria Alessandra
    Thera, Michel
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2021, 14 (02): : 331 - 337
  • [22] A new regularity criterion of weak solutions to the 3D micropolar fluid flows in terms of the pressure
    Sadek Gala
    Maria Alessandra Ragusa
    Michel Théra
    Bollettino dell'Unione Matematica Italiana, 2021, 14 : 331 - 337
  • [23] A regularity criterion for 3D micropolar fluid flows
    He, Xiaowei
    Fan, Jishan
    APPLIED MATHEMATICS LETTERS, 2012, 25 (01) : 47 - 51
  • [24] Global Regularity for the 3D Micropolar Fluid Flows
    Alghamdi, Ahmad M.
    Gala, Sadek
    Ragusa, Maria Alessandra
    FILOMAT, 2022, 36 (06) : 1967 - 1970
  • [25] On Regularity Criteria for the 3D Incompressible MHD Equations Involving One Velocity Component
    Jia, Xuanji
    Zhou, Yong
    JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2016, 18 (01) : 187 - 206
  • [26] On Regularity Criteria for the 3D Incompressible MHD Equations Involving One Velocity Component
    Xuanji Jia
    Yong Zhou
    Journal of Mathematical Fluid Mechanics, 2016, 18 : 187 - 206
  • [27] 3D Microscale Flow Simulation of Shear-Thinning Fluids in a Rough Fracture
    Min Zhang
    Maša Prodanović
    Maryam Mirabolghasemi
    Jianlin Zhao
    Transport in Porous Media, 2019, 128 : 243 - 269
  • [28] 3D printing of shear-thinning hyaluronic acid hydrogels with secondary crosslinking
    Ouyang, Liliang
    Highley, Christopher
    Rodell, Christopher
    Sun, Wei
    Burdick, Jason
    ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2016, 252
  • [29] 3D Microscale Flow Simulation of Shear-Thinning Fluids in a Rough Fracture
    Zhang, Min
    Prodanovic, Masa
    Mirabolghasemi, Maryam
    Zhao, Jianlin
    TRANSPORT IN POROUS MEDIA, 2019, 128 (01) : 243 - 269
  • [30] Serrin–type regularity criteria for the 3D MHD equations via one velocity component and one magnetic component
    Hui Chen
    Chenyin Qian
    Ting Zhang
    Calculus of Variations and Partial Differential Equations, 2022, 61