Periodicity Properties of Solutions to a Hysteresis Model in Micromagnetics

Martin Kružík ()
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Martin Kružík: Academy of Sciences of the Czech Republic, Institute of Information Theory and Automation

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 605-614 from Springer

Abstract: Summary We show the existence of a solution with a periodic integral average of the magnetization. This property is generic for both uniaxial as well as cubic ferromagnets. Our proof mainly uses properties of time-discrete approximations and a fixed point theorem.

Keywords: Coercive Force; Energy Inequality; Young Measure; Periodicity Property; Hysteresis Model (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_58

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DOI: 10.1007/978-3-642-18775-9_58

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