Duality Applied to Micro-Magnetism

Fabio Botelho
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Fabio Botelho: Federal University of Pelotas, Department of Mathematics and Statistics

Chapter Chapter 21 in Functional Analysis and Applied Optimization in Banach Spaces, 2014, pp 493-516 from Springer

Abstract: Abstract The main focus of chapter 21 is the development of dual variational formulations for functionals related to ferromagnetism models. We develop duality principles for the so-called hard and full (semi-linear) uniaxial cases. It is important to emphasize that the dual formulations here presented are convex and are useful to compute the average behavior of minimizing sequences, specially as the primal formulation has no minimizers in the classical sense. Once more the results are obtained through standard tools of convex analysis.

Keywords: Dual Application; Magnetic Micro; Dual Variational Formulation; Duality Principle; Ferromagnetic Model (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06074-3_21

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DOI: 10.1007/978-3-319-06074-3_21

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