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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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通讯作者信息:
来源 :
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN: 1468-1218
年份: 2024
卷: 77
2 . 0 0 0
JCR@2022
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