Weak-strong uniqueness for a class of generalized dissipative weak solutions for non-homogeneous, non-Newtonian and incompressible fluids

被引：1
作者：
Woznicki, Jakub [1 ]
机构：
[1] Univ Warsaw, Fac Math Informat & Mech, Stefana Banacha 2, PL-02097 Warsaw, Poland
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2022年 / 64卷
关键词：
Non-homogeneous fluids; Incompressible fluids; Non-Newtonian fluids; Weak-strong uniqueness; MEASURE-VALUED SOLUTIONS;
D O I：
10.1016/j.nonrwa.2021.103426
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a system of PDEs describing a non-homogeneous, non-Newtonian and incompressible fluid in a space-periodic domain. We define the generalized dissipative weak solutions as well as give a proof of its existence, when the boundary data is provided. The main result of this work is the weak-strong uniqueness of the defined solutions. (C) 2021 The Author (s). Published by Elsevier Ltd.
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