  We consider a phase-field model which describes the interactions between the
blood flow and the thrombus. The latter is supposed to be a viscoelastic
material. The potential describing the cohesive energy of the mixture is
assumed to be of Flory-Huggins type (i.e. logarithmic). This ensures the
boundedness from below of the dissipation energy. In the two dimensional case,
we prove the local (in time) existence and uniqueness of a strong solution,
provided that the two viscosities of the pure fluid phases are close enough. We
also show that the order parameter remains strictly separated from the pure
phases if it is so at the initial time.
