Energy equality for the 3D inhomogeneous Navier–Stokes equations in Lorentz–Besov spaces

Abstract

We establish the energy equality for Leray–Hopf weak solutions of the 3D incompressible inhomogeneous Navier–Stokes equations in Lorentz–Besov spaces. This result may be regarded as an extension of that by Cheskidov and Luo (2020).