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

2022/02/18 by Motofumi Aoki, Tsukasa Iwabuchi, Aoki, Motofumi +1
Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2202.09042

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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