  In a viscous fluid, the past motion of an accelerating particle is retained
as an imprint on the vorticity field, which decays slowly as $t^{-3/2}$. At low
Reynolds number, the Basset-Boussinesq-Oseen (BBO) equation correctly describes
nonuniform particle motion, capturing hydrodynamic memory effects associated
with this slow algebraic decay. Using the BBO equation, we numerically simulate
driven single-particle transport to show that memory effects persist
indefinitely under rather general driving conditions. In particular, when
driving forces do not vary smoothly, hydrodynamic memory substantially lowers
the effective transport friction. Remarkably, this enables coasting over a
spatially uneven potential that otherwise traps particles modeled with pure
Stokes drag. Our results provide direct physical insight into role of
particle-fluid coupling in nonequilibrium microparticle transport.
