Remarks on the energy equality for the non-Newtonian fluids

被引：14

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

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