Regularity criterion for 3D generalized Newtonian fluids in BMO

被引：2

作者：

Sin, Cholmin ^{[1
]}

Baranovskii, Evgenii S. ^{[2
]}

机构：

[1] State Acad Sci, Inst Math, Pyongyang, North Korea

[2] Voronezh State Univ, Dept Appl Math Informat & Mech, Voronezh, Russia

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 377卷

关键词：

Generalized Navier-Stokes equations; Non-Newtonian fluids; Shear-dependent viscosity; Regularity criterion; Gagliardo-Nirenberg inequality; BMO; NAVIER-STOKES EQUATIONS; SHEAR THINNING FLUIDS; WEAK SOLUTIONS; ONE-COMPONENT; VELOCITY; EXISTENCE;

D O I：

10.1016/j.jde.2023.10.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that a weak solution of the Cauchy problem for 3D unsteady flows of a generalized Newtonian fluid becomes a strong solution for 5/3 < p < 11/5 provided that the velocity field belongs to the critical space L (2/ p-1) (0, T; BMO(R-3)). The main key is to apply variants of Gagliardo-Nirenberg's inequality including a BMO-norm. In particular, when 2 < p < 11/5 , we derive and use a nonlinear variant p-2 of Gagliardo-Nirenberg's inequality including IIuII(BMO) and II|Du| (p-2/2) del( 2)uII2.(c) 2023 Elsevier Inc. All rights reserved.

引用

页码：859 / 872

页数：14

共 50 条

[21] A regularity criterion for 3D micropolar fluid flows
He, Xiaowei
Fan, Jishan
APPLIED MATHEMATICS LETTERS, 2012, 25 (01) : 47 - 51
[22] EXISTENCE AND DEGENERATE REGULARITY OF TRAJECTORY STATISTICAL SOLUTION FOR THE 3D INCOMPRESSIBLE NON-NEWTONIAN MICROPOLAR FLUIDS
Chen, Xiaolin
Yang, Hujun
Han, Xiaoling
Zhao, Caidi
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (03): : 1101 - 1118
[23] 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
[24] A regularity criterion for a 3D tropical climate model with damping
Berti, Diego
Bisconti, Luca
Catania, Davide
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 518 (01)
[25] A Regularity Criterion of Weak Solutions to the 3D Boussinesq Equations
Gala, Sadek
Ragusa, Maria Alessandra
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2020, 51 (02): : 513 - 525
[26] Remark on an improved regularity criterion for the 3D MHD equations
Xu, Xiaojing
Ye, Zhuan
Zhang, Zujin
APPLIED MATHEMATICS LETTERS, 2015, 42 : 41 - 46
[27] A regularity criterion of weak solutions to the 3D Boussinesq equations
Alghamdi, Ahmad Mohammed
Gala, Sadek
Ragusa, Maria Alessandra
AIMS MATHEMATICS, 2017, 2 (03): : 451 - U208
[28] Regularity criterion for the 3D Hall-magneto-hydrodynamics
Dai, Mimi
JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 261 (01) : 573 - 591
[29] An Osgood Type Regularity Criterion for the 3D Boussinesq Equations
Wu, Qiang
Hu, Lin
Liu, Guili
SCIENTIFIC WORLD JOURNAL, 2014,
[30] On the regularity criterion of weak solutions for the 3D MHD equations
Gala, Sadek
Ragusa, Maria Alessandra
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (06):

← 1 2 3 4 5 →