On Maxwell equations with the Preisach hysteresis operator: The one- dimensional time-periodic case

Pavel Krejčí

Aplikace matematiky (1989)

  • Volume: 34, Issue: 5, page 364-374
  • ISSN: 0862-7940

Abstract

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Energy functionals for the Preisach hysteresis operator are used for proving the existence of weak periodic solutions of the one-dimensional systems of Maxwell equations with hysteresis for not too large right-hand sides. The upper bound for the speed of propagation of waves is independent of the hysteresis operator.

How to cite

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Krejčí, Pavel. "On Maxwell equations with the Preisach hysteresis operator: The one- dimensional time-periodic case." Aplikace matematiky 34.5 (1989): 364-374. <http://eudml.org/doc/15590>.

@article{Krejčí1989,
abstract = {Energy functionals for the Preisach hysteresis operator are used for proving the existence of weak periodic solutions of the one-dimensional systems of Maxwell equations with hysteresis for not too large right-hand sides. The upper bound for the speed of propagation of waves is independent of the hysteresis operator.},
author = {Krejčí, Pavel},
journal = {Aplikace matematiky},
keywords = {energy functionals; Preisach hysteresis; Maxwell equations; periodic solutions; energy functionals; Preisach hysteresis; Maxwell equations},
language = {eng},
number = {5},
pages = {364-374},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On Maxwell equations with the Preisach hysteresis operator: The one- dimensional time-periodic case},
url = {http://eudml.org/doc/15590},
volume = {34},
year = {1989},
}

TY - JOUR
AU - Krejčí, Pavel
TI - On Maxwell equations with the Preisach hysteresis operator: The one- dimensional time-periodic case
JO - Aplikace matematiky
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 5
SP - 364
EP - 374
AB - Energy functionals for the Preisach hysteresis operator are used for proving the existence of weak periodic solutions of the one-dimensional systems of Maxwell equations with hysteresis for not too large right-hand sides. The upper bound for the speed of propagation of waves is independent of the hysteresis operator.
LA - eng
KW - energy functionals; Preisach hysteresis; Maxwell equations; periodic solutions; energy functionals; Preisach hysteresis; Maxwell equations
UR - http://eudml.org/doc/15590
ER -

References

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  1. А. И. Ахиезер И. А. Ахиезер, Электромагнетизм и электромагнитные волны, Высшая школа, Москва, 1985. (1985) Zbl1223.81132
  2. M. А. Красносельский А. В. Покровский, Системы с гистерезисом, Наука, Москва, 1983. (1983) Zbl1229.47001
  3. P. Krejčí, 10.1007/BF01174335, Math. Z. 193, 247-264 (1986). (193,) Zbl0658.35065MR0856153DOI10.1007/BF01174335
  4. P. Krejčí, On Ishlinskii's model for non-perfectly elastic bodies, Apl. mat. 33(1988), 133-144. (1988) Zbl0653.73013MR0940712
  5. P. Krejčí, A monotonicity method for solving hyperbolic problems with hysteresis, Apl. mat. 33 (1988), 197-203. (1988) Zbl0668.35065MR0944783
  6. P. Krejčí, Quasilinear wave equation with hysteresis: an initial-boundary-value problem, To appear. 
  7. A. Visintin, On the Preisach model for hysteresis, Nonlinear Anal. T.M.A. 8, 977-996 (1984). (1984) Zbl0563.35007MR0760191
  8. A. Visintin A. Damlamian, Une généralisation vectorielle du modèle de Preisach pour l'hystérésis, C.R. Acad. Sc. Paris 297, sér. I, 437-440 (1983). (1983) Zbl0546.35068MR0732853

Citations in EuDML Documents

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  1. Pavel Krejčí, Vladimír Lovicar, Continuity of hysteresis operators in Sobolev spaces
  2. Pavel Krejčí, Modelling of singularities in elastoplastic materials with fatigue
  3. Pavel Krejčí, Resonance in Preisach systems
  4. Stephen McCarthy, Dmitrii Rachinskii, Dynamics of systems with Preisach memory near equilibria
  5. Pavel Krejčí, Hysteresis memory preserving operators
  6. Alexander Pimenov, Dmitrii Rachinskii, Homoclinic orbits in a two-patch predator-prey model with Preisach hysteresis operator
  7. Pavel Krejčí, Hysteresis operators - a new approach to evolution differential inequalities

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