[en] A decompostion of the one-body distribution function in a coherent states basis is shown to be an adequate starting point for dynamical purposes. The Vlasov equation is solved within this framework for suddenly heated spherical nuclei. It turns out that the systems emit some particles into the continuum during the monopole oscillations. Some results are also presented for the full three dimensional Vlasov equation in the case of heavy ion collisions in the intermediate energy domain. The transparency effects which are also expected from the TDHF calculations are obtained. An extension of the Vlasov equation by inclusion of a collision term is presented (the Landau-Vlasov equation). Some examples of applications concerning the incomplete fusion processes on the one hand and the peripheral reactions on the other hand are extensively discussed in the energy range between 20 and 100 MeV/nucleon