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Energy conservation for the weak solutions of the compressible Navier-Stokes equations | | Cheng Yu
; | | Date: |
2 May 2016 | | Abstract: | 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 conserve on the vacuum for the compressible Navier-Stokes equations
with constant viscosities. Our results are the first ones on the energy
conservation for the weak solutions of the compressible Navier-Stokes
equations. | | Source: | arXiv, 1605.0628 | | Services: | Forum | Review | PDF | Favorites | |
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