Convergence to equilibrium of a multiscale model for suspensions
Éric Cancès, Claude Le Bris · Discrete and Continuous Dynamical Systems - B · 2006
We consider a multiscale model describing the flow of a concentrated suspension. The model couples the macroscopic equation of conservation of momentum with a nonlinear nonlocal kinetic equation describing at the microscopic level the rheological behaviour of the fluid. We study the long-time limit of the time-dependent solution. For this purpose, we use the entropy method to prove the convergence to equilibrium of the kinetic equation.