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Analysis of the Flow of Magnetoelastic Materials
Author(s) -
Benešová Barbora,
Forster Johannes,
GarcíaCervera Carlos,
Liu Chun,
Schlömerkemper Anja
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610320
Subject(s) - mathematical proof , flow (mathematics) , balanced flow , variable (mathematics) , statistical physics , dynamics (music) , magnetization , physics , theoretical physics , classical mechanics , mathematics , calculus (dental) , mechanics , mathematical analysis , magnetic field , geometry , quantum mechanics , medicine , dentistry , acoustics
We consider evolutionary models for magnetoelastic materials. The PDEs modeling the flow of the material were derived from variational principles in a continuum mechanical setting. In this article, we discuss the existence of weak solutions for two models, one with gradient flow type dynamics on the magnetic variable and in the other the dynamics of the magnetization is described by the Landau‐Lifshitz‐Gilbert equation. We highlight the main differences of the proofs in the two cases. © 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)