  Using the screened Cornell potential and the next-to-leading order
perturbative QCD to determine, respectively, the properties of bottomonia and
their dissociation cross sections in a quark-gluon plasma, we study in a 2+1
ideal hydrodynamics the effect of initial fluctuations on bottomonia production
in relativistic heavy-ion collisions. We find that while initial fluctuations
hardly affect the yield of the 1S ground state bottomonium, their effect on
that of excited bottomonium states is not small. Compared to the case with
smooth initial conditions, the survival probability of excited bottomonia is
reduced at low transverse momentum and increased at high transverse momentum.
The observed suppression of the excited bottomonia relative to the ground state
bottomonium by the Compact Muon Solenoid (CMS) collaborations at an average
transverse momentum can, however, be described at present with both smooth and
fluctuating initial conditions.
