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MiS Preprint

Weierstrass-type maximum principle for microstructure in micromagnetics

Martin Kruzik and Tomas Roubicek


We derive necessary and sufficient optimality conditions for a relaxed (in terms of Young measures) variational problem governing steady states of ferromagnetic materials.

Such conditions here stated in the form of a generalized Weierstrass maximum principle enable us to establish uniqueness of a solution in some specific situations and can also be used in efficient numerical algorithms solving the relaxed problems, for instance.

May 31, 1999
May 31, 1999
MSC Codes:
49K20, 49K35, 49S05
calculus of variation, convexification, ferromagnetism, micromagnetics, optimality conditions, relaxation, young measure

Related publications

2000 Repository Open Access
Martin Kružík and Tomas Roubicek

Weierstrass-type maximum principle for microstructure in micromagnetics

In: Zeitschrift fuer Analysis und ihre Anwendungen, 19 (2000) 2, pp. 415-428