Remarks on the energy equality for the non-Newtonian fluids

被引：13

作者：

Zhang, Zujin ^{[1
]}

机构：

[1] Gannon Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 480卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Non-Newtonian fluids; Weak solution; Energy equality; WEAK SOLUTIONS; EQUATIONS;

D O I：

10.1016/j.jmaa.2019.123443

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By establishing some new trilinear estimates, we could show that a weak solution to the non-Newtonian fluids satisfies the energy equality, under some integrability conditions on the velocity or velocity gradient. This significantly extends (Yang (2019) [13]) for non-Newtonian fluids, and improves (Berselli and Chiodaroli (2018) [3]) for Newtonian fluids. (C) 2019 Elsevier Inc. All rights reserved.

引用

页数：9

共 50 条

[31] Existence of regular solutions for a certain type of non-Newtonian fluids [J].

Kang, Kyungkeun ;

Kim, Hwa Kil ;

Kim, Jae-Myoung .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (04)

[32] Random attractors of stochastic non-newtonian fluids [J].

Guo, Chun-xiao ;

Guo, Bo-ling ;

Han, Yong-qian .

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2012, 28 (01) :165-180

[33] On the exponential behaviour of stochastic evolution equations for non-Newtonian fluids [J].

Razafimandimby, Paul Andre ;

Sango, Mamadou .

APPLICABLE ANALYSIS, 2012, 91 (12) :2217-2233

[34] Finite Velocity of the Propagation of Perturbations for a Class of Non-Newtonian Fluids [J].

Yuan, Hongjun ;

Li, Huapeng .

ACTA APPLICANDAE MATHEMATICAE, 2013, 125 (01) :49-77

[35] A review of constitutive models for non-Newtonian fluids [J].

Sun, Hongguang ;

Jiang, Yuehua ;

Zhang, Yong ;

Jiang, Lijuan .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2024, 27 (04) :1483-1526

[36] A Critical Review of Dynamic Wetting by Complex Fluids: From Newtonian Fluids to Non-Newtonian Fluids and Nanofluids [J].

Lu, Gui ;

Wang, Xiao-Dong ;

Duan, Yuan-Yuan .

ADVANCES IN COLLOID AND INTERFACE SCIENCE, 2016, 236 :43-62

[37] Trajectory attractor for a non-autonomous magnetohydrodynamic equation of non-Newtonian fluids [J].

Razafimandimby, Paul Andre .

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2012, 9 (03) :177-203

[38] Calculation of the Pitot tube correction factor for Newtonian and non-Newtonian fluids [J].

Etemad, SG ;

Thibault, J ;

Hashemabadi, SH .

ISA TRANSACTIONS, 2003, 42 (04) :505-512

[39] On non-Newtonian fluids with a property of rapid thickening under different stimulus [J].

Gwiazda, Piotr ;

Swierczewska-Gwiazda, Agnieszka .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2008, 18 (07) :1073-1092

[40] A refined two-scale model for Newtonian and non-Newtonian fluids in fractured poroelastic media [J].

Hageman, Tim ;

de Borst, Rene .

JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 441

← 1 2 3 4 5 →