TY - JOUR
AU - Yu, Cheng
AB - 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 results are the first ones on energy conservation for the weak solutions of the compressible Navier–Stokes equations.
TI - Energy Conservation for the Weak Solutions of the Compressible Navier–Stokes Equations
JF - Archive for Rational Mechanics and Analysis
DO - 10.1007/s00205-017-1121-4
DA - 2017-05-15
UR - https://www.deepdyve.com/lp/springer-journals/energy-conservation-for-the-weak-solutions-of-the-compressible-navier-0ElplaCKBO
SP - 1073
EP - 1087
VL - 225
IS - 3
DP - DeepDyve
ER -