JournalszaaVol. 19 , No. 2pp. 415–428

Weierstrass-Type Maximum Principle for Microstructure in Micromagnetics

  • Martin Kružík

    Czech Technical University, Prague, Czech Republic
  • Tomáš Roubíček

    Charles University, Praha, Czech Republic
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Abstract

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.

Cite this article

Martin Kružík, Tomáš Roubíček, Weierstrass-Type Maximum Principle for Microstructure in Micromagnetics. Z. Anal. Anwend. 19 (2000), no. 2 pp. 415–428

DOI 10.4171/ZAA/959