Effective viscosity of random suspensions without uniform separation

DOI10.4171/AIHPC/25MaRDI QIDQ2693531

Mitia Duerinckx

Publication date: 21 March 2023

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.13188

zbMATH Keywords

incompressible linear elasticitywith stiff inclusionsrandom suspensions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (5)

Derivation of an Effective Rheology for Dilute Suspensions of Microswimmers ⋮ Derivation of the viscoelastic stress in Stokes flows induced by nonspherical Brownian rigid particles through homogenization ⋮ Effective viscosity of semi-dilute suspensions ⋮ Inverse of divergence and homogenization of compressible Navier-Stokes equations in randomly perforated domains ⋮ Continuum percolation in stochastic homogenization and the effective viscosity problem

Cites Work

• Invariance principle for symmetric diffusions in a degenerate and unbounded stationary and ergodic random medium
• A Liouville theorem for elliptic systems with degenerate ergodic coefficients
• Derivation of the Batchelor-Green formula for random suspensions
• Sedimentation of random suspensions and the effect of hyperuniformity
• Homogenization of stiff inclusions through network approximation
• Quantitative homogenization theory for random suspensions in steady Stokes flow
• Analysis of the viscosity of dilute suspensions beyond Einstein's formula
• Corrector equations in fluid mechanics: effective viscosity of colloidal suspensions
• Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps
• Computation of the drag force on a sphere close to a wall
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Homogenisation of a class of fourth order equations with application to incompressible elasticity
• Local Boundedness and Harnack Inequality for Solutions of Linear Nonuniformly Elliptic Equations
• Mild assumptions for the derivation of Einstein’s effective viscosity formula
• A Local Version of Einstein's Formula for the Effective Viscosity of Suspensions
• The determination of the bulk stress in a suspension of spherical particles to order c 2
• The hydrodynamic interaction of two small freely-moving spheres in a linear flow field
• Stochastic Homogenization of Nonconvex Discrete Energies with Degenerate Growth
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Effective viscosity of random suspensions without uniform separation