On the energy equality for solutions to Newtonian and non-Newtonian fluids

被引：23

作者：

da Veiga, Hugo Beirao ^{[1
]}

Yang, Jiaqi ^{[2
]}

机构：

[1] Pisa Univ, Dept Math, Pisa, Italy

[2] Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 185卷

关键词：

Energy equality; Newtonian and non-Newtonian fluids; EQUATIONS;

D O I：

10.1016/j.na.2019.33.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the energy equality for weak solutions to Newtonian and non-Newtonian incompressible fluids. Furthermore, a new result allows an interpretation of the classical Shinbrot condition as a measure of strength, which looks coherent to the more recent results in the literature. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：388 / 402

页数：15

共 21 条

[1]

[Anonymous], 2001, Adv. Differential Equations

[2] Existence of strong solutions to the equations of unsteady motion of shear thickening incompressible fluids [J].

Bae, Hyeong-Ohk ;

Wolf, Joerg .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2015, 23 :160-182

[3]

Berselli L. C., 2019, ARXIV180702667V3MATH

[4]

Cheskidov A., 2018, ARXIV180205785V2MATH

[5] On the Energy Equality for Weak Solutions of the 3D Navier-Stokes Equations [J].

Cheskidov, Alexey ;

Friedlander, Susan ;

Shvydkoy, Roman .

ADVANCES IN MATHEMATICAL FLUID MECHANICS: DEDICATED TO GIOVANNI PAOLO GALDI ON THE OCCASION OF HIS 60TH BIRTHDAY, INTERNATIONAL CONFERENCE ON MATHEMATICAL FLUID MECHANICS, 2007, 2010, :171-+

[6]

Farwig R., 2014, Ann. Univ. Ferrara, V60, P91, DOI DOI 10.1007/S11565-014-0210-7

[7]

Gagliardo E., 1959, RIC MAT, V8, P24

[8]

Galdi GP, 2011, SPRINGER MONOGR MATH, P1, DOI 10.1007/978-0-387-09620-9

[9]

Galdi G.P., 2008, Hemodynamical flows

[10]

Galdi G. P., 2017, ARXIV171005725V2MATH

← 1 2 3 →