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arXiv · 2202.09042

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

Motofumi Aoki·Tsukasa Iwabuchi
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Abstract

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 conserve the energy. Our assumption relaxes the regularity condition for the density compared with existing results.

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Motofumi Aoki, Tsukasa Iwabuchi. 2022-02-18. Energy conservation law for weak solutions of the full compressible Navier-Stokes equations. https://arxiv.org/abs/2202.09042

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