The radial flow, equation of state and freeze-out phenomena

This is a status report on the on-going work aiming at producing new hydro-based event generator HKM (the hydro-kinetic model) which incorporates such features as EOS with the QCD phase transition. It is discussed whether data on radial flow can help to restrict EOS. It is pointed out that the usual fixed-T freeze-out condition is too crude and a more sophisticated one is needed: the 'local' one is studied in details. New ideas related with event-per-event fluctuations are discussed, which can help better measure matter properties at the freeze-out. (author)