Magneto-elasticity on the disk

Authors

  • Sandra Carillo Università degli Studi di Roma "La Sapienza" https://orcid.org/0000-0001-9260-1839
  • Michel Chipot University of Zurich
  • Vanda Valente Istituto per le Applicazioni del Calcolo "M. Picone"
  • Giorgio Vergara Caffarelli Università degli Studi di Roma "La Sapienza"

DOI:

https://doi.org/10.1478/AAPP.982A1

Keywords:

magnetic field, elastic body, magneto-elastic energy, functional minimisation

Abstract

A model problem of magneto-elastic body is considered. Specifically, the case of a two dimensional circular disk is studied. The functional which represents the magneto-elastic energy is introduced. Then, the minimisation problem, referring to the simplified two-dimensional model under investigation, is analysed. The existence of a minimiser is proved and its dependence on the eigenvalues of the problem is investigated. A bifurcation result is obtained corresponding to special values of the parameters.

Author Biographies

  • Sandra Carillo, Università degli Studi di Roma "La Sapienza"
    Dipartimento di Scienze di Base e Applicate per l'Ingegneria
  • Giorgio Vergara Caffarelli, Università degli Studi di Roma "La Sapienza"
    Dipartimento di Scienze di Base e Applicate per l'Ingegneria

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Published

2020-07-30

Issue

Vol. 98 No. 2 (2020)

Section

Articles

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