  We study conditional regularity for the compressible Navier-Stokes equations
with potential temperature transport in a bounded domain
$\Omega\subset\mathbb{R}^d$, $d\in\{2,3\}$, with no-slip boundary conditions.
We first prove the existence and uniqueness of local-in-time strong solutions.
Further, we prove a blow-up criterion for the strong solution in terms of
$L^\infty$-norms for the density and the velocity.
