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Duality Applied to Micro-Magnetism

In: Functional Analysis and Applied Optimization in Banach Spaces

Author

Listed:
  • Fabio Botelho

    (Federal University of Pelotas, Department of Mathematics and Statistics)

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.

Suggested Citation

  • Fabio Botelho, 2014. "Duality Applied to Micro-Magnetism," Springer Books, in: Functional Analysis and Applied Optimization in Banach Spaces, edition 127, chapter 0, pages 493-516, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-06074-3_21
    DOI: 10.1007/978-3-319-06074-3_21
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