Energy equality in the isentropic compressible Navier-Stokes-Maxwell equations

Abstract

This paper concerns energy conservation for weak solutions of compressible Navier-Stokes-Maxwell equations. For the energy equality to hold, we provide sufficient conditions on the regularity of weak solutions, even for solutions that may include exist near-vacuum or on a boundary. Our energy conservation result generalizes/extends previous works on compressible Navier-Stokes equations and an incompressible Navier-Stokes-Maxwell system.

Keywords

• energy conservation
• compressible navier-stokes-maxwell equations
• onsager's conjecture