Energy conservation law for weak solutions of the full compressible Navier-Stokes equations
Analysis of PDEs
2022-02-21 v1
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.
Keywords
Cite
@article{arxiv.2202.09042,
title = {Energy conservation law for weak solutions of the full compressible Navier-Stokes equations},
author = {Motofumi Aoki and Tsukasa Iwabuchi},
journal= {arXiv preprint arXiv:2202.09042},
year = {2022}
}
Comments
18 pages