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Visintin, Augusto

On the Preisach model for hysteresis. (English) Zbl 0563.35007

Nonlinear Anal., Theory Methods Appl. 8, 977-996 (1984).
The author proves the existence of solutions of parabolic and hyperbolic problems which involve a hysteresis functional.
Reviewer: D.E.Edmunds

Cited in 2 Reviews
Cited in 28 Documents

MSC:

35A15 Variational methods applied to PDEs
35Q99 Partial differential equations of mathematical physics and other areas of application
78A25 Electromagnetic theory (general)
35R10 Partial functional-differential equations

Keywords:

Preisach model; ferromagnetic material; existence; hysteresis functional
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\textit{A. Visintin}, Nonlinear Anal., Theory Methods Appl. 8, 977--996 (1984; Zbl 0563.35007)
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References:

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[3] Everett, D. H., A general approach to hysteresis: Part 4, An alternative formulation of the domain model, Trans. Faraday Soc., 51, 1551-1557 (1955)
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[8] Neel, L., Théorie des lois d’aimantation de Lord Rayleigh, Cah. Phys., 12, 1-20 (1942)
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[10] Visintin, A., Histérésis dans les systèmes distribués, C.r. hebd. Séanc. Acad. Sci. Paris, 293, 625-628 (1981) · Zbl 0494.35051
[11] Visintin, A., A model for hysteresis of distributed systems, Annali mat. pura appl., 131, 203-231 (1982) · Zbl 0494.35052
[12] Visintin, A., A phase transition problem with delay, Control and Cybernetics, 11, 5-18 (1982) · Zbl 0522.35089
[13] Visintin, A., Evolution problems with hysteresis in the source term, SIAM J. Appl. Math. (1982), submitted for publication. · Zbl 0618.35053
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