SIAM J. Appl. Math.

2021

DOI: 10.1137/21m1413833

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Homogenization of Nondilute Suspension of Viscous Fluid with Magnetic Particles

Silvia Jiménez Bolaños³

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Cited by 4 publications

References 18 publications

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Global Gradient Estimate for a Divergence Problem and Its Application to the Homogenization of a Magnetic Suspension

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³

2022

Association for Women in Mathematics Series

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No abstract

Global Gradient Estimate for a Divergence Problem and Its Application to the Homogenization of a Magnetic Suspension

¹

,

²

,

³

2022

Association for Women in Mathematics Series

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No abstract

An existence result for a suspension of rigid magnetizable particles

Nika,

Vernescu

2024

Banach J. Math. Anal.

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We establish the existence of a weak solution for a strongly coupled, nonlinear Stokes–Maxwell system, originally proposed by Nika and Vernescu (Z Angew Math Phys 71(1):1–19, 2020) in the three-dimensional setting. The model effectively couples the Stokes equation with the quasi-static Maxwell’s equations through the Lorentz force and the Maxwell stress tensor. The proof of existence is premised on: (i) the augmented variational formulation of Maxwell’s equations, (ii) the definition of a new function space for the magnetic induction and the verification of a Poincar’e-type inequality, and (iii) the deployment of the Altman–Shinbrot fixed point theorem when the magnetic Reynolds number, $${\text {R}_{\text {m}}},$$ R m , is small.

Homogenization of a NonLinear Strongly Coupled Model of Magnetorheological Fluids

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³

2023

SIAM J. Math. Anal.

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