On the characterization of constitutive equations for third-grade viscous Korteweg fluids

We consider a model of third grade viscous Korteweg--type fluid in three space dimensions, and apply the extended Liu procedure order to explicitly solve constraints imposed by entropy principle on non--local constitutive relations. detail algorithm we use, are able characterize material functions involved equations. In natural way, application allows us recover an extra term flux, preserving all features fluids. Moreover, further constraint, avoid that at equilibrium only very special phase boundaries admissible, is investigated.