Energy conservation law for weak solutions of the full compressible Navier-Stokes equations

We consider a sufficient condition for the energy conservation law of a weak solution for the full compressible Navier-Stokes equations on the torus. We prove that a weak solution constructed by Feireisl with certain integrability conditions conserves the energy. Our assumption relaxes the regularit...

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Bibliographic Details
Published in:Journal of Differential Equations 2022-12, Vol.341, p.481-503
Main Authors: Aoki, Motofumi, Iwabuchi, Tsukasa
Format: Article
Language:English
Subjects:
Compressible Navier-Stokes equations
Energy conservation law
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Summary:We consider a sufficient condition for the energy conservation law of a weak solution for the full compressible Navier-Stokes equations on the torus. We prove that a weak solution constructed by Feireisl with certain integrability conditions conserves the energy. Our assumption relaxes the regularity condition for the density compared with existing results.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2022.09.006