| Title:
|
On Maxwell equations with the Preisach hysteresis operator: The one- dimensional time-periodic case (English) |
| Author:
|
Krejčí, Pavel |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
34 |
| Issue:
|
5 |
| Year:
|
1989 |
| Pages:
|
364-374 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
energy functionals |
| Keyword:
|
Preisach hysteresis |
| Keyword:
|
Maxwell equations |
| Keyword:
|
periodic solutions |
| MSC:
|
35B10 |
| MSC:
|
35L60 |
| MSC:
|
35Q20 |
| MSC:
|
35Q60 |
| MSC:
|
78A25 |
| idZBL:
|
Zbl 0701.35098 |
| idMR:
|
MR1014077 |
| DOI:
|
10.21136/AM.1989.104364 |
| . |
| Date available:
|
2008-05-20T18:37:21Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104364 |
| . |
| Reference:
|
[1] А. И. Ахиезер И. А. Ахиезер: Электромагнетизм и электромагнитные волны.Высшая школа, Москва, 1985. Zbl 1223.81132 |
| Reference:
|
[2] M. А. Красносельский А. В. Покровский: Системы с гистерезисом.Наука, Москва, 1983. Zbl 1229.47001 |
| Reference:
|
[3] P. Krejčí: Hysteresis and periodic solutions to semilinear and quasilinear wave equations.Math. Z. 193, 247-264 (1986). MR 0856153, 10.1007/BF01174335 |
| Reference:
|
[4] P. Krejčí: On Ishlinskii's model for non-perfectly elastic bodies.Apl. mat. 33(1988), 133-144. MR 0940712 |
| Reference:
|
[5] P. Krejčí: A monotonicity method for solving hyperbolic problems with hysteresis.Apl. mat. 33 (1988), 197-203. MR 0944783 |
| Reference:
|
[6] P. Krejčí: Quasilinear wave equation with hysteresis: an initial-boundary-value problem.To appear. |
| Reference:
|
[7] A. Visintin: On the Preisach model for hysteresis.Nonlinear Anal. T.M.A. 8, 977-996 (1984). Zbl 0563.35007, MR 0760191 |
| Reference:
|
[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). MR 0732853 |
| . |
