Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2000-06-30
Weierstrass-Type Maximum Principle for Microstructure in MicromagneticsMartin Kružík and Tomáš Roubíček (1) Czech Technical University, Prague, Czech Republic
(2) Charles University, Praha, Czech Republic
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.
Keywords: Calculus of variations, convexification, ferromagnetism, micromagnetics, optimality conditions, relaxation, Young measures
Kružík Martin, Roubíček Tomáš: Weierstrass-Type Maximum Principle for Microstructure in Micromagnetics. Z. Anal. Anwend. 19 (2000), 415-428. doi: 10.4171/ZAA/959