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Homogenization of a non-linear strongly coupled model of magnetorheological fluids
Thuyen Dang, Yuliya Gorb, Silvia Jiménez Bolaños
This paper concerns the rigorous periodic homogenization for a non-linear strongly coupled system, which models a suspension of magnetizable rigid particles in a non-conducting car…
Homogenization for a Variational Problem with a Slip Interface Condition
Miao-jung Yvonne Ou, Silvia Jiménez Bolaños
Inspired by applications, we study the effect of interface slip on the effective wave propagation in poroelastic composites. The current literature on the homogenization for the po…
Bloch Waves in High Contrast Electromagnetic Crystals
Robert Lipton, Robert Viator, Silvia Jimenez Bolanos +1
Analytic representation formulas and power series are developed describing the band structure inside non-magnetic periodic photonic three-dimensional crystals made from high dielec…
Global gradient estimate for a divergence problem and its application to the homogenization of a magnetic suspension
Thuyen Dang, Yuliya Gorb, Silvia Jimenez Bolanos
This paper generalizes the results obtained by the authors in \cite{dangHomogenizationNondiluteSuspension2021} concerning the homogenization of a non-dilute suspension of magnetic…
Homogenization of Non-dilute Suspension of Viscous Fluid with Magnetic Particles
Thuyen Dang, Yuliya Gorb, Silvia Jimenez Bolanos
This paper seeks to carry out the rigorous homogenization of a particulate flow consisting of a non-dilute suspension of a viscous Newtonian fluid with magnetizable particles. The…