On a model for electromagnetic processes inside and outside a ferromagnetic body

Martin Brokate; Michela Eleuteri; Pavel Krejčí

doi:10.1002/mma.983

On a model for electromagnetic processes inside and outside a ferromagnetic body

Martin Brokate
, Michela Eleuteri
, Pavel Krejčí

Chair of Numerical Mathematics and Control Theory (2008 — 2025)

Research output: Contribution to journal › Article › peer-review

Abstract

One-dimensional Maxwell's equations are considered in a ferromagnetic body surrounded by vacuum. Existence and uniqueness of solution for the resulting system of partial differential equations withhysteresis on the whole real line is proved under suitable constitutive hypotheses.

Original language	English
Pages (from-to)	1545-1567
Number of pages	23
Journal	Mathematical Methods in the Applied Sciences
Volume	31
Issue number	13
DOIs	https://doi.org/10.1002/mma.983
State	Published - 10 Sep 2008

Keywords

Electromagnetic processes
Ferromagnetic materials
Hysteresis

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10.1002/mma.983

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title = "On a model for electromagnetic processes inside and outside a ferromagnetic body",

abstract = "One-dimensional Maxwell's equations are considered in a ferromagnetic body surrounded by vacuum. Existence and uniqueness of solution for the resulting system of partial differential equations withhysteresis on the whole real line is proved under suitable constitutive hypotheses.",

keywords = "Electromagnetic processes, Ferromagnetic materials, Hysteresis",

author = "Martin Brokate and Michela Eleuteri and Pavel Krej{\v c}{\'i}",

year = "2008",

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volume = "31",

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T1 - On a model for electromagnetic processes inside and outside a ferromagnetic body

AU - Brokate, Martin

AU - Eleuteri, Michela

AU - Krejčí, Pavel

PY - 2008/9/10

Y1 - 2008/9/10

N2 - One-dimensional Maxwell's equations are considered in a ferromagnetic body surrounded by vacuum. Existence and uniqueness of solution for the resulting system of partial differential equations withhysteresis on the whole real line is proved under suitable constitutive hypotheses.

AB - One-dimensional Maxwell's equations are considered in a ferromagnetic body surrounded by vacuum. Existence and uniqueness of solution for the resulting system of partial differential equations withhysteresis on the whole real line is proved under suitable constitutive hypotheses.

KW - Electromagnetic processes

KW - Ferromagnetic materials

KW - Hysteresis

UR - https://www.scopus.com/pages/publications/49749151383

U2 - 10.1002/mma.983

DO - 10.1002/mma.983

M3 - Article

AN - SCOPUS:49749151383

SN - 0170-4214

VL - 31

SP - 1545

EP - 1567

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 13

ER -

On a model for electromagnetic processes inside and outside a ferromagnetic body

Abstract

Keywords

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