An existence result for a suspension of rigid magnetizable particles

DOI10.1007/s43037-024-00328-yOpenAlexW4392351124MaRDI QIDQ6124337

Bogdan Vernescu, Grigor Nika

Publication date: 27 March 2024

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43037-024-00328-y

zbMATH Keywords

Maxwell's equationsStokes equationaugmented variational formulationAltman-Shinbrot fixed point theory

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Partial differential equations of mathematical physics and other areas of application (35Qxx)

Cites Work

• Higher \(L^p\) regularity for vector fields that satisfy divergence and rotation constraints in dual Sobolev spaces, and application to some low-frequency Maxwell equations
• Homogenization mechanics of a non-dilute suspension of magnetic particles
• On Friedrichs inequality, Helmholtz decomposition, vector potentials, and the div-curl lemma
• Augmented formulations for solving Maxwell equations
• Enhancement of elasto-dielectrics by homogenization of active charges
• Homogenization for rigid suspensions with random velocity-dependent interfacial forces
• Multiscale modeling of magnetorheological suspensions
• A fixed point theorem, and some applications
• Inéquations en thermoélasticité et magnétohydrodynamique
• Dilute emulsions with surface tension
• Vector potentials in three-dimensional non-smooth domains
• Homogenization of Elastic Dielectric Composites with Rapidly Oscillating Passive and Active Source Terms
• Homogenization of Nondilute Suspension of Viscous Fluid with Magnetic Particles
• MULTISCALE ANALYSIS OF ELECTRORHEOLOGICAL FLUIDS
• Micro-geometry Effects on the Nonlinear Effective Yield Strength Response of Magnetorheological Fluids
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