Energy equality of weak solutions of the Navier-Stokes-Fourier equations allowing vacuum

被引：0
作者：
Ji, Xiang [1 ]
Wang, Shu [2 ]
Zhang, Jie [1 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
[2] Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2024年 / 77卷
基金：
中国国家自然科学基金;
关键词：
Full Navier-Stokes equations; Energy equality; Weak solutions; Vacuum; ONSAGERS CONJECTURE; COMPRESSIBLE EULER; CONSERVATION; EXISTENCE;
D O I：
10.1016/j.nonrwa.2024.104065
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with the conservation of energy criterion of the weak solutions to the Navier-Stokes-Fourier equations on the torus allowing vacuum. We establish the energy conservation criteria via the gradient of velocity for the weak solutions of this system, which generalizes the corresponding recent energy conservation criteria in terms of the velocity obtained by Aoki and Iwabuchi in Aoki and Iwabuchi (2022). Moreover, sufficient conditions for weak solutions keeping the energy balance allowing vacuum are shown for the full Navier-Stokes equations.
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页数：17
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