Hysteresis memory preserving operators
Applications of Mathematics (1991)
- Volume: 36, Issue: 4, page 305-326
- ISSN: 0862-7940
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topKrejčí, Pavel. "Hysteresis memory preserving operators." Applications of Mathematics 36.4 (1991): 305-326. <http://eudml.org/doc/15681>.
@article{Krejčí1991,
abstract = {The recent development of mathematical methods of investigation of problems with hysteresis has shown that the structure of the hysteresis memory plays a substantial role. In this paper we characterize the hysteresis operators which exhibit a memory effect of the Preisach type (memory preserving operators). We investigate their properties (continuity, invertibility) and we establish some relations between special classes of such operators (Preisach, Ishlinskii and Nemytskii operators). For a general memory preserving operator we derive an energy inequality.},
author = {Krejčí, Pavel},
journal = {Applications of Mathematics},
keywords = {hysteresis memory; Preisach operators; memory preserving operators; energy inequality; hysteresis operators; Prandtl model; Ishlinskij model; moving model; Preisach type memory effects; hysteresis operators; Prandtl model; Ishlinskij model; moving model; 756},
language = {eng},
number = {4},
pages = {305-326},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Hysteresis memory preserving operators},
url = {http://eudml.org/doc/15681},
volume = {36},
year = {1991},
}
TY - JOUR
AU - Krejčí, Pavel
TI - Hysteresis memory preserving operators
JO - Applications of Mathematics
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 4
SP - 305
EP - 326
AB - The recent development of mathematical methods of investigation of problems with hysteresis has shown that the structure of the hysteresis memory plays a substantial role. In this paper we characterize the hysteresis operators which exhibit a memory effect of the Preisach type (memory preserving operators). We investigate their properties (continuity, invertibility) and we establish some relations between special classes of such operators (Preisach, Ishlinskii and Nemytskii operators). For a general memory preserving operator we derive an energy inequality.
LA - eng
KW - hysteresis memory; Preisach operators; memory preserving operators; energy inequality; hysteresis operators; Prandtl model; Ishlinskij model; moving model; Preisach type memory effects; hysteresis operators; Prandtl model; Ishlinskij model; moving model; 756
UR - http://eudml.org/doc/15681
ER -
References
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- M. Hilpert, On uniqueness for evolution problems with hysteresis, Report No. 119, Universität Augsburg, 1989. (1989) Zbl0701.35009MR1038080
- M. A. Krasnoselskii A. V. Pokrovskii, Systems with hysteresis, (Russian). Moscow, Nauka, 1983. (1983) MR0742931
- P. Krejčí, 10.1007/BF01174335, Math. Z. 193 (1986), 247-264. (193) MR0856153DOI10.1007/BF01174335
- P. Krejčí, On Maxwell equations with the Preisach hysteresis operator: the one-dimensional time-periodic case, Apl. Mat. 34 (1989), 364-374. (1989) MR1014077
- P. Krejčí, Hysteresis operators - a new approach to evolution differential inequalities, Comment. Math. Univ. Carolinae, 30, 3 (1989), 525-536. (1989) MR1031870
- D. Mayergoyz, 10.1103/PhysRevLett.56.1518, Phys. Rev. Letters 56 (1986), 1518-1529. (1986) DOI10.1103/PhysRevLett.56.1518
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