Energy equality for the compressible Navier-Stokes-Korteweg equations

Abstract

In this paper, we investigate the problem of energy equality of the two and three dimensional compressible Navier-Stokes-Korteweg equations with general pressure law. By using the commutator estimation to deal with the nonlinear terms, we obtain the sufficient conditions for the regularity of weak solutions to conserve the energy.

Keywords

• navier-stokes-korteweg equations
• compressible fluids
• energy equality