  We explore the effects of the density dependence of symmetry energy on the
dynamical instabilities and crust-core phase transition in the cold and warm
neutron stars in the RMF theory with point-coupling interactions using the
Vlasov approach. The role of the temperature and neutrino trapping has also
been considered. The distillation effect, crust-core transition density and
pressure, the cluster size and growth rates have been discussed. The present
work shows that the slope of symmetry energy, temperature, and neutrino
trapping have obvious effects.
