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
  • [1] Regularity results for 3D shear-thinning fluid flows in terms of the gradient of one velocity component
    ChungGuk Kim
    Jisong Pak
    Cholmin Sin
    Evgenii S. Baranovskii
    Zeitschrift für angewandte Mathematik und Physik, 2024, 75
  • [2] Regularity Criterion for 3D Shear-Thinning Fluids via One Component of Velocity
    Pak, Jisong
    Sin, Cholmin
    Baranovskii, Evgenii S.
    APPLIED MATHEMATICS AND OPTIMIZATION, 2023, 88 (02):
  • [3] Regularity Criterion for 3D Shear-Thinning Fluids via One Component of Velocity
    Jisong Pak
    Cholmin Sin
    Evgenii S. Baranovskii
    Applied Mathematics & Optimization, 2023, 88
  • [4] Regularity criteria for 3D shear-thinning fluids in terms of two components of vorticity
    Sin, Cholmin
    Pak, Jisong
    Baranovskii, Evgenii S.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (17) : 18387 - 18399
  • [5] A regularity criterion for 3D micropolar fluid flows in terms of one partial derivative of the velocity
    Gala, Sadek
    Ragusa, Maria Alessandra
    ANNALES POLONICI MATHEMATICI, 2016, 116 (03) : 217 - 228
  • [6] A regularity criterion for 3D shear thinning fluids in terms of the direction of vorticity
    Sin, Cholmin
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, 70
  • [7] Shear-thinning stimulative fluid breakup in 3D pore-throat
    He, Long
    Wang, Saipin
    Han, Siming
    Yuan, Yuejin
    Yuan, Yueding
    Shang, Xinglong
    CHEMICAL ENGINEERING RESEARCH & DESIGN, 2024, 201 : 362 - 371
  • [8] A new regularity criterion for the 3D incompressible MHD equations in terms of one component of the gradient of pressure
    Jia, Xuanji
    Zhou, Yong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 396 (01) : 345 - 350
  • [9] A generalized regularity criterion for 3D Navier-Stokes equations in terms of one velocity component
    Qian, Chenyin
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (04) : 3477 - 3494
  • [10] Regularity criteria for the 3D MHD equations involving one current density and the gradient of one velocity component
    Zhang, Zujin
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 115 : 41 - 49