  This work establishes the relaxation limit from the bipolar Euler-Poisson
system to the bipolar drift-diffusion system, for data so that the latter has a
smooth solution. A relative energy identity is developed for the bipolar fluid
system and is used to show that a dissipative weak solution of the bipolar
Euler-Poisson system converges in the high-friction regime to a strong and
bounded away from vacuum solution of the bipolar drift-diffusion system.
