  In this work, we examine the solution properties of the Burgers' equation
with stochastic transport. First, we prove results on the formation of shocks
in the stochastic equation and then obtain a stochastic Rankine-Hugoniot
condition that the shocks satisfy. Next, we establish the local existence and
uniqueness of smooth solutions in the inviscid case and construct a blow-up
criterion. Finally, in the viscous case, we prove global existence and
uniqueness of smooth solutions.
