Fictitious Fluid Approach and Anomalous Blow-up of the Dissipation Rate in a 2D Model of Concentrated Suspensions

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dc.creatorBerlyand, Leonid
dc.creatorGorb, Yuliya
dc.creatorNovikov, Alexei
dc.date2006-08-28
dc.date.accessioned2026-07-07T07:22:13Z
dc.date.available2026-07-07T07:22:13Z
dc.descriptionWe present a two-dimensional (2D) mathematical model of a highly concentrated suspension or a thin film of the rigid inclusions in an incompressible Newtonian fluid. Our objectives are two-fold: (i) to obtain all singular terms in the asymptotics of the overall viscous dissipation rate as the interparticle distance parameter $δ$ tends to zero, (ii) to obtain a qualitative description of a microflow between neighboring inclusions in the suspension.
dc.description76 pages, submitted
dc.identifierhttps://arxiv.org/abs/math/0608671
dc.identifierhttp://arxiv.org/abs/math/0608671
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115580
dc.subjectAnalysis of PDEs
dc.subject76T20
dc.titleFictitious Fluid Approach and Anomalous Blow-up of the Dissipation Rate in a 2D Model of Concentrated Suspensions
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