On Maxwell equations with the Preisach hysteresis operator: The one- dimensional time-periodic case
Aplikace matematiky (1989)
- Volume: 34, Issue: 5, page 364-374
- ISSN: 0862-7940
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topKrejčí, 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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- M. А. Красносельский А. В. Покровский, Системы с гистерезисом, Наука, Москва, 1983. (1983) Zbl1229.47001
- P. Krejčí, 10.1007/BF01174335, Math. Z. 193, 247-264 (1986). (193,) MR0856153DOI10.1007/BF01174335
- P. Krejčí, On Ishlinskii's model for non-perfectly elastic bodies, Apl. mat. 33(1988), 133-144. (1988) MR0940712
- P. Krejčí, A monotonicity method for solving hyperbolic problems with hysteresis, Apl. mat. 33 (1988), 197-203. (1988) MR0944783
- P. Krejčí, Quasilinear wave equation with hysteresis: an initial-boundary-value problem, To appear.
- A. Visintin, On the Preisach model for hysteresis, Nonlinear Anal. T.M.A. 8, 977-996 (1984). (1984) Zbl0563.35007MR0760191
- 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) MR0732853
Citations in EuDML Documents
top- Pavel Krejčí, Modelling of singularities in elastoplastic materials with fatigue
- Pavel Krejčí, Vladimír Lovicar, Continuity of hysteresis operators in Sobolev spaces
- Pavel Krejčí, Resonance in Preisach systems
- Stephen McCarthy, Dmitrii Rachinskii, Dynamics of systems with Preisach memory near equilibria
- Pavel Krejčí, Hysteresis memory preserving operators
- Alexander Pimenov, Dmitrii Rachinskii, Homoclinic orbits in a two-patch predator-prey model with Preisach hysteresis operator
- Pavel Krejčí, Hysteresis operators - a new approach to evolution differential inequalities
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