Regularity criterion on energy equality for compressible Cahn‐Hilliard‐Navier‐Stokes equations

This paper is concerned with the compressible Cahn‐Hilliard‐Navier‐Stokes system. We establish a sufficient regularity condition such that every weak solution conserves its energy equality for every t > 0. Our approach is based on the commutator and mollification approximation.