| Abstract: |
| We study the energy conservation for the weak solutions to the compressible Primitive Equations (CPE) system with degenerate viscosity.
We give sufficient conditions on the regularity of weak solutions for the energy equality to hold,
even for solutions that may include vacuum. In this paper, we give two theorems, the first one gives regularity in the classical Sobolev and Besov spaces. The second one state result in the anisotropic space. We get new regularity results in the second theorem because of the special structure of CPE system, which are in contrast to compressible Navier-Stokes equations. |
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