# The role of density in the energy conservation for the isentropic compressible Euler equations

@inproceedings{Wang2021TheRO, title={The role of density in the energy conservation for the isentropic compressible Euler equations}, author={Yanqing Wang and Yulin Ye and Huan Yu}, year={2021} }

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 ̺ ∈ L(0, T ;L(T)). The motivation is to analysis the role of the integrability of density of the weak solutions keeping energy in this system, since almost all known corresponding results require ̺ ∈ L∞(0, T ;L(T)). Our results imply that the lower integrability of the density ̺ means that more…

## One Citation

Energy equality for the isentropic compressible Navier-Stokes equations without upper bound of the density

- Mathematics
- 2021

In this paper, we are concerned with the minimal regularity of both the density and the velocity for the weak solutions keeping energy equality in the isentropic compressible Navier-Stokes equations.…

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