Quantitative homogenization theory for random suspensions in steady Stokes flow

DOI10.5802/jep.204zbMath1497.35031arXiv2103.06414OpenAlexW3133602417MaRDI QIDQ2161224

Antoine Gloria, Mitia Duerinckx

Publication date: 4 August 2022

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.06414

zbMATH Keywords

rigid particlecorrector estimatequantitative stochastic homogenizationlarge-scale regularityeffective viscosity tensorrandom suspensionsteady Stokes fluid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) 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 (4)

Effective viscosity of semi-dilute suspensions ⋮ Quantitative nonlinear homogenization: control of oscillations ⋮ Effective viscosity of random suspensions without uniform separation ⋮ Global gradient estimate for a divergence problem and its application to the homogenization of a magnetic suspension

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