  This paper addresses the problem of energy conservation for the two- and
three-dimensional density-dependent Euler equations. Two types of sufficient
conditions on the regularity of solutions are provided to ensure the
conservation of total kinetic energy on the entire time interval including the
initial time. The first class of data assumes integrability on the spatial
gradient of the density, and hence covers the classical result of
Constantin-E-Titi for the homogeneous Euler equations. The other type of data
imposes extra time Besov regularity on the velocity profile, and the
corresponding result can be applied to deal with a wide class of rough density
profiles.
