• Corpus ID: 237267068

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

  title={Energy equality in the isentropic compressible Navier-Stokes equations allowing vacuum},
  author={Yulin Ye and Yaniqng Wang and Wei Wei},
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… 
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