Remarks on the energy equality for the non-Newtonian fluids

被引：12
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.
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页数：9
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