• Corpus ID: 238857187

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