A simple justification of effective models for conducting or fluid media with dilute spherical inclusions

DOI10.3233/ASY-211696MaRDI QIDQ5061576

David Gérard-Varet

Publication date: 14 March 2022

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.11931

zbMATH Keywords

Laplace equationStokes problemfluid mechanicshomogenisationeffective problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) 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) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Viscosity solutions to PDEs (35D40) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (6)

Homogenization of sound-soft and high-contrast acoustic metamaterials in subcritical regimes ⋮ The Clausius–Mossotti formula ⋮ 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 ⋮ Unnamed Item ⋮ Analysis of a Monte-Carlo Nystrom Method

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