The 3D incompressible Navier-Stokes equations with partial hyperdissipation

被引：21
|
作者：
Yang, Wanrong [1 ]
Jiu, Quansen [2 ]
Wu, Jiahong [3 ]
机构：
[1] North Minzu Univ, Sch Math & Informat Sci, Ningxia 750021, Peoples R China
[2] Capital Normal Univ, Sch Math, Beijing 100037, Peoples R China
[3] Oklahoma State Univ, Dept Math, 401 Math Sci, Stillwater, OK 74078 USA
来源：
MATHEMATISCHE NACHRICHTEN | 2019年 / 292卷 / 08期
基金：
美国国家科学基金会;
关键词：
3D Navier-Stokes equations; fractional partial dissipation; global regularity; GLOBAL REGULARITY;
D O I：
10.1002/mana.201700176
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The three-dimensional incompressible Navier-Stokes equations with the hyperdisipation (-Delta)(gamma) always possess global smooth solutions when gamma >= 5/4 Tao[6] and Barbato, Morandin and Romito [1] made logarithmic reductions in the dissipation and still obtained the global regularity. This paper makes a different type of reduction in the dissipation and proves the global existence and uniqueness in the H-1-functional setting
引用
收藏
页码：1823 / 1836
页数：14
相关论文
共 50 条
  • [31] Asymptotic limit of fast rotation for the incompressible Navier-Stokes equations in a 3D layer
    Ohyama, Hiroki
    Takada, Ryo
    [J]. JOURNAL OF EVOLUTION EQUATIONS, 2021, 21 (02) : 2591 - 2629
  • [32] A CONJECTURE REGARDING LOCAL BEHAVIOR OF VORTICITY IN THE 3D INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
    GIBBON, JD
    [J]. PHYSICS LETTERS A, 1995, 203 (04) : 181 - 188
  • [33] DYNAMICS FOR THE 3D INCOMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DOUBLE TIME DELAYS AND DAMPING
    Shi, Wei
    Cui, Xiaona
    Li, Xuezhi
    Yang, Xin-Guang
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (10): : 5503 - 5534
  • [34] Non-stationary creeping flows for incompressible 3D Navier-Stokes equations
    Ershkov, Sergey V.
    [J]. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2017, 61 : 154 - 159
  • [35] Application of the Rosenbrock methods to the solution of unsteady 3D incompressible Navier-Stokes equations
    Deparis, Simone
    Deville, Michel O.
    Menghini, Filippo
    Pegolotti, Luca
    Quarteroni, Alfio
    [J]. COMPUTERS & FLUIDS, 2019, 179 : 112 - 122
  • [36] Splitting methods for high order solution of the incompressible Navier-Stokes equations in 3D
    Brüger, A
    Gustafsson, B
    Lötstedt, P
    Nilsson, J
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2005, 47 (10-11) : 1157 - 1163
  • [37] Regularity Criteria in Weak L3 for 3D Incompressible Navier-Stokes Equations
    Luo, Yuwen
    Tsai, Tai-Peng
    [J]. FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2015, 58 (03): : 387 - 404
  • [38] Global well-posedness for the 3D incompressible inhomogeneous Navier-Stokes equations and MUD equations
    Zhai, Xiaoping
    Yin, Zhaoyang
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 262 (03) : 1359 - 1412
  • [39] The Incompressible Navier-Stokes Equations in Vacuum
    Danchin, Raphael
    Mucha, Piotr Boguslaw
    [J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2019, 72 (07) : 1351 - 1385
  • [40] 3D STEADY COMPRESSIBLE NAVIER-STOKES EQUATIONS
    Pokorny, Milan
    Mucha, Piotr B.
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2008, 1 (01): : 151 - 163
12345