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

Yulin Ye, Yaniqng Wang, Wei Wei

It is well-known that a Leray-Hopf weak solution in $L^4(0,T;L^4(\Omega ))$ for the incompressible Navier-Stokes system is persistence of energy due to Lions [19]. In this paper, it is…