Effective viscosity of dilute suspensions

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03 10, 2022

SpeakerProf. Mitia DuerinckxParis-Saclay University 
TitleEffective viscosity of dilute suspensions
VenueZoom924 888 5804   AMSS2022
AbstractIn 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.



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