Homogenization of Nondilute Suspension of Viscous Fluid with Magnetic Particles

DOI10.1137/21M1413833zbMath1481.76167arXiv2105.02861OpenAlexW3157716307MaRDI QIDQ5018875

Thuyen Dang, Yuliya Gorb, Silvia Jiménez Bolaños

Publication date: 24 December 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.02861

zbMATH Keywords

asymptotic solutionStokes flowtwo-scale convergencelocally periodic homogenizationmagnetizable particle

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Suspensions (76T20) Magnetohydrodynamics and electrohydrodynamics (76W05) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (3)

Homogenization of a NonLinear Strongly Coupled Model of Magnetorheological Fluids ⋮ An existence result for a suspension of rigid magnetizable particles ⋮ Global gradient estimate for a divergence problem and its application to the homogenization of a magnetic suspension

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Complex fluids. Modeling and algorithms
• Interior Hölder and gradient estimates for the homogenization of the linear elliptic equations
• Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
• Suspension of solid particles in a Newtonian fluid
• A direct simulation method for flows with suspended paramagnetic particles
• Functional analysis, Sobolev spaces and partial differential equations
• Homogenization mechanics of a non-dilute suspension of magnetic particles
• Ferrofluids and magnetically guided superparamagnetic particles in flows: a review of simulations and modeling
• Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
• Applied functional analysis. Applications to mathematical physics. Vol. 1
• Direct simulation of the dynamics of two spherical particles actuated magnetically in a viscous fluid
• Multiscale modeling of magnetorheological suspensions
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• The Conormal Derivative Problem for Elliptic Equations with BMO Coefficients on Reifenberg flat domains
• Gradient estimates for weak solutions of linear elliptic systems with singular-degenerate coefficients
• Homogenization of composite ferromagnetic materials

This page was built for publication: Homogenization of Nondilute Suspension of Viscous Fluid with Magnetic Particles