Abstract
In this paper a realistic model for mixtures of magnetic materials is presented, and an application to an optimal design problem is also given.
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E. Acerbi, I. Fonseca, G. Mingione: paper in preparation.
L. Ambrosio, N. Fusco, D. Pallara: Functions of bounded variation and free discontinuity problems, Clarendon Press, Oxford University Press, New York, 2000.
M. Carriero, A. Leaci: S k -valued maps minimizing the L P norm of the gradient with free discontinuities, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 18 (1991), 321–352.
A. DeSimone: Energy minimisers for large ferromagnetic bodies, Arch. Rational Mech. Anal. 125 (1993), 99–143.
A. DeSimone, R.V. Kohn, S. Müller, F. Otto: Magnetic microstructures - a paradigm of multiscale problems,ICIAM 99 (Edinburgh), 175–190, Oxford Univ. Press, Oxford, 2000.
A. Hubert, R. Schäfer: Magnetic domains, Springer Verlag, Berlin, Heidelberg, New York, 1998.
L. Modica: Gradient theory of phase transitions with boundary contact energy, Ann. Inst. H. Poincaré Anal. Non Linéaire 4 (1987), 487–512.
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Acerbi, E. (2002). A Model for Mixtures of Micromagnetic Materials allowing Existence and Regularity. In: dal Maso, G., Tomarelli, F. (eds) Variational Methods for Discontinuous Structures. Progress in Nonlinear Differential Equations and Their Applications, vol 51. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8193-7_1
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DOI: https://doi.org/10.1007/978-3-0348-8193-7_1
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9470-8
Online ISBN: 978-3-0348-8193-7
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