  We study the interplay between the flow and hydrodynamic gradients in jet
quenching at first order in opacity. We find that the mixed flow-gradient
contributions in jet quenching are enhanced by the medium length, and survive
in the eikonal limit, dominating over other medium evolution effects. The
resulting modification to the jet quenching parameter and energy loss rate can
be substantial, leading to ample phenomenological implications. We also compute
the leading corrections to the jet broadening due to the flow velocity
gradients, and consider the leading gradient effects in the medium-induced
branching for general kinematics, extending the recent considerations of jets
in inhomogeneous media. These results can be straightforwardly coupled to
matter simulations, providing new opportunities for jet tomography in heavy-ion
collisions.
