• Corpus ID: 237267068

# Energy equality in the isentropic compressible Navier-Stokes equations allowing vacuum

@inproceedings{Ye2021EnergyEI,
title={Energy equality in the isentropic compressible Navier-Stokes equations allowing vacuum},
author={Yulin Ye and Yaniqng Wang and Wei Wei},
year={2021}
}
• Published 21 August 2021
• Mathematics
It is well-known that a Leray-Hopf weak solution in L(0, T ;L(Ω)) for the incompressible Navier-Stokes system is persistence of energy due to Lions [19]. In this paper, it is shown that Lions’s condition for energy balance is also valid for the weak solutions of the isentropic compressible Navier-Stokes equations allowing vacuum under suitable integrability conditions on the density and its derivative. This allows us to establish various sufficient conditions implying energy equality for the…
1 Citations
The role of density in the energy conservation for the isentropic compressible Euler equations
In this paper, we study Onsager’s conjecture on the energy conservation for the isentropic compressible Euler equations via establishing the energy conservation criterion involving the density ̺ ∈

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