# Energy Conservation for the Weak Solutions of the Compressible Navier–Stokes Equations

@article{Yu2016EnergyCF, title={Energy Conservation for the Weak Solutions of the Compressible Navier–Stokes Equations}, author={Cheng Yu}, journal={Archive for Rational Mechanics and Analysis}, year={2016}, volume={225}, pages={1073-1087} }

In this paper, we prove the energy conservation for the weak solutions of the compressible Navier–Stokes equations for any time t > 0, under certain conditions. The results hold for the renormalized solutions of the equations with constant viscosities, as well as the weak solutions of the equations with degenerate viscosity. Our conditions do not depend on the dimensions. The energy may be conserved on the vacuum for the compressible Navier–Stokes equations with constant viscosities. Our… Expand

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