Premium
On a model for electromagnetic processes inside and outside a ferromagnetic body
Author(s) -
Brokate Martin,
Eleuteri Michela,
Krejčí Pavel
Publication year - 2008
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.983
Subject(s) - uniqueness , ferromagnetism , mathematics , maxwell's equations , partial differential equation , hysteresis , mathematical analysis , constitutive equation , line (geometry) , physics , condensed matter physics , geometry , finite element method , thermodynamics
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 with hysteresis on the whole real line is proved under suitable constitutive hypotheses. Copyright © 2008 John Wiley & Sons, Ltd.