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作者:

Ji, Xiang (Ji, Xiang.) | Wang, Shu (Wang, Shu.) (学者:王术) | Zhang, Jie (Zhang, Jie.)

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EI Scopus SCIE

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.

关键词:

Weak solutions Vacuum Full Navier-Stokes equations Energy equality

作者机构:

  • [ 1 ] [Ji, Xiang]Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
  • [ 2 ] [Zhang, Jie]Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
  • [ 3 ] [Wang, Shu]Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China

通讯作者信息:

  • 王术

    [Wang, Shu]Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China

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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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