Analysis of the Flow of Magnetoelastic Materials. Issue 1 (October 2016)

• Record Type: Journal Article
• Authors: Benešová, Barbora; Forster, Johannes; García‐Cervera, Carlos; Liu, Chun; Schlömerkemper, Anja
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 16:Issue 1(2016)
• Page Start: 663
• Page End: 664
• Publication Date: 2016-10
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201610320
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: 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)