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arXiv · 1906.02984

Magneto-elasticity on the disk

Sandra Carillo·Michel Chipot·Vanda Valente·Giorgio Vergara Caffarelli
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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.

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Sandra Carillo, Michel Chipot, Vanda Valente, Giorgio Vergara Caffarelli. 2019-06-07. Magneto-elasticity on the disk. https://doi.org/10.1478/aapp.982a1

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