Convergence of equilibria for numerical approximations of a suspension model

In this paper we study the numerical approximations of a non-Newtonian model for concentratedsuspensions. First,weprovethattheapproximativemodelspossessauniquefixedpointandstudy theirconvergencetoastationarypointoftheoriginalequation. Second, we implement an implicit Euler scheme, proving the convergence of these approximationsaswell. Finally,numericalsimulationsareprovided

Uniform attractors for vanishing viscosity approximations of non-autonomous complex flows

In this paper we prove the existence of uniform global attractors in the strong topology of the phase space for semiflows generated by vanishing viscosity approximations of some class of non-autonomous complex fluids