  It is widely believed that electroweak baryogenesis should be suppressed in
strong phase transitions with fast-moving bubble walls, but this effect has
never been quantitatively studied. We rederive fluid equations describing
transport of particle asymmetries near the bubble wall without making the
small-wall-velocity approximation. We show that the suppression of the baryon
asymmetry is a smooth function of the wall speed and that there is no special
behavior when crossing the sound speed barrier. Electroweak baryogenesis can
thus be efficient also with strong detonations, generically associated with
models with observably large gravitational waves. We also make a systematic and
critical comparison of our improved transport equations to another one commonly
used in the literature, based on the VEV-insertion formalism.
