  In a core collapse supernova, collective oscillations of neutrinos emitted by
the proto-neutron star significantly modifies the partition of energy between
different flavors in a way which is potentially important for the
nucleosynthesis of heavy elements at the outer layers. As the outcome of
collective oscillations depends nonlinearly on the chosen initial conditions
proto-neutron star, their systematical study across the proto-neutron star
model space may provide answers to some key questions.
