Magneto-elasticity on the disk
Analysis of PDEs
2020-09-01 v2
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.
Keywords
Cite
@article{arxiv.1906.02984,
title = {Magneto-elasticity on the disk},
author = {Sandra Carillo and Michel Chipot and Vanda Valente and Giorgio Vergara Caffarelli},
journal= {arXiv preprint arXiv:1906.02984},
year = {2020}
}
Comments
18 ages, 1 figure