Discrete-to-continuum limit of magnetic forces.

DOI10.1016/S1631-073X(02)02494-9zbMath1038.74018OpenAlexW1965849453MaRDI QIDQ700317

Anja Schlömerkemper, Stefan Müller

Publication date: 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02494-9

zbMATH Keywords

hypersingular integrallattice regularizationBravais latticemagnetic dipoleslocal surface termsingular sumvolume term

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Micromechanical theories (74A60) Statistical mechanics of magnetic materials (82D40)

Related Items (7)

Discrete-to-continuum limit of magnetic forces: Dependence on the distance between bodies ⋮ Inertial manifold and large deviations approach to reduced PDE dynamics ⋮ About regularity issues regarding a magnetic force formula ⋮ Discrete-to-continuum limits of long-range electrical interactions in nanostructures ⋮ Finite mechanical proxies for a class of reducible continuum systems ⋮ Mathematical derivation of the continuum limit of the magnetic force between two parts of a rigid crystalline material ⋮ Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. I: Analysis

Cites Work

• Internal variables and fine-scale oscillations in micromagnetics
• Configurational forces in magnetism with application to the dynamics of a small-scale ferromagnetic shape memory cantilever
• On the continuum theory of deformable ferromagnetic solids

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