Silvia Jimenez Bolanos, Colgate University
Authors: Thuyen Dang, Yuliya Gorb, Silvia Jiménez Bolaños
2023 AWM Research Symposium
Recent Advancements in the Mathematics of Materials Science [Organized by Anna Zemlyanova and Silvia Jimenez Bolanos]

In this talk, the rigorous periodic homogenization for a coupled system, which models a suspension of magnetizable rigid particles in a non-conducting carrier viscous Newtonian fluid is discussed. Both one-way and two-way coupling between the fluid and particles are considered. As the size of the particles approaches zero, it is shown that the suspension’s behavior is governed by a generalized homogenized magnetohydrodynamic system, whose parameters are explicitly derived. The two-scale convergence is utilized to justify obtained homogenized behavior of the original heterogeneous system.

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