This review is concerned with the nonequilibrium dynamics and structure of complex fluids
based on simple micro-and mesoscopic physical models which are not rigorously solvable …

The efficient numerical treatment of high dimensional problems is hampered by the curse of
dimensionality. We review approximation techniques which overcome this problem to some …

We survey the field of micro-macro numerical techniques for predicting complex flows of
viscoelastic fluids. The micro-macro approach couples the mesoscopic scale of kinetic …

In this paper, we introduce a new method for solving efficiently the Fokker–Planck equation
arising in the simulation of dilute polymeric solutions. For a two-dimensional FENE (Finitely …

We study the existence of global-in-time weak solutions to a coupled microscopic–
macroscopic bead-spring model which arises from the kinetic theory of diluted solutions of …

Models should be as simple as possible, but no simpler. For the physics of polymeric liquids,
whose relevant lengths and time scales are out of reach for first principles calculations, this …

The state of the art of the mathematical and numerical analysis of multi-scale models of
complex fluids is reviewed. Issues addressed include well-posedness of the models …

We study the existence of global-in-time weak solutions to a coupled microscopic-
macroscopic bead-spring model which arises from the kinetic theory of dilute solutions of …

A numerical method based on the Fokker–Planck equation is applied to the simulation of a
dilute solution of polymer modelled by two-dimensional FENE dumbbells. The proposed …

Publisher Summary This chapter discusses the applications of Langevin and Fokker–Planck
equations in polymer rheology. It presents the stochastic simulation techniques for solving …