Effective viscosity of dilute suspensions

Speaker：Prof. Mitia Duerinckx（Paris-Saclay University ）
Title：Effective viscosity of dilute suspensions
Time：2022.03.10，21:00-22:00
Venue：Zoom：924 888 5804   AMSS2022
Abstract：In this talk, based on joint work with A.Gloria, I will investigate the large-scale rheology of systems of suspended particles in fluids. After reviewing our recent results on the definition of the effective viscosity of such systems in terms of homogenization theory, I will focus on its asymptotic expansion in dilute regime: I will present a new, fully optimal proof of Einstein's viscosity formula for the first-order expansion and show how to pursue the asymptotic expansion to higher orders. The essential difficulty originates in the long-range nature of hydrodynamic interactions: these require suitable renormalizations, which are best expressed by means diagrammatic expansions.