Quasilinear hyperbolic equations with hysteresis

Augusto Visintin

Annales de l'I.H.P. Analyse non linéaire (2002)

  • Volume: 19, Issue: 4, page 451-476
  • ISSN: 0294-1449

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Visintin, Augusto. "Quasilinear hyperbolic equations with hysteresis." Annales de l'I.H.P. Analyse non linéaire 19.4 (2002): 451-476. <http://eudml.org/doc/78551>.

@article{Visintin2002,
author = {Visintin, Augusto},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {plasticity; ferromagnetism; ferroelectricity; dissipation properties of hysteresis; Preisach model},
language = {eng},
number = {4},
pages = {451-476},
publisher = {Elsevier},
title = {Quasilinear hyperbolic equations with hysteresis},
url = {http://eudml.org/doc/78551},
volume = {19},
year = {2002},
}

TY - JOUR
AU - Visintin, Augusto
TI - Quasilinear hyperbolic equations with hysteresis
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2002
PB - Elsevier
VL - 19
IS - 4
SP - 451
EP - 476
LA - eng
KW - plasticity; ferromagnetism; ferroelectricity; dissipation properties of hysteresis; Preisach model
UR - http://eudml.org/doc/78551
ER -

References

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  1. [1] Brokate M., Sprekels J., Hysteresis and Phase Transitions, Springer, Berlin, 1996. Zbl0951.74002MR1411908
  2. [2] Damlamian A., Visintin A., Une généralisation vectorielle du modèle de Preisach pour l'hystérésis, C. R. Acad. Sci. Paris Série I297 (1983) 437-440. Zbl0546.35068MR732853
  3. [3] DiPerna R.J., Convergence of approximate solutions of conservation laws, Arch. Rational Mech. Anal.82 (1983) 27-70. Zbl0519.35054MR684413
  4. [4] Krasnosel'skiĭ M.A., Pokrovskiĭ A.V., Systems with Hysteresis, Springer, Berlin, 1989, (Russian ed.: Nauka, Moscow, 1983). MR987431
  5. [5] Krejčí P., Hysteresis and periodic solutions of semi-linear and quasi-linear wave equations, Math. Z.193 (1986) 247-264. Zbl0658.35065MR856153
  6. [6] Krejčí P., Convexity, Hysteresis and Dissipation in Hyperbolic Equations, Gakkotosho, Tokyo, 1997. 
  7. [7] Lions J.L., Magenes E., Non-Homogeneous Boundary Value Problems and Applications, Vols. I, II, Springer, Berlin, 1972, (French ed.: Dunod, Paris, 1968). Zbl0223.35039MR350177
  8. [8] Preisach F., Über die magnetische Nachwirkung, Z. Physik94 (1935) 277-302. 
  9. [9] Triebel H., Interpolation Theory, Function Spaces, Differential Operators, Verlag der Wissenschaften, Berlin, 1978. Zbl0387.46033MR500580
  10. [10] Visintin A., Differential Models of Hysteresis, Springer, Berlin, 1994. Zbl0820.35004MR1329094
  11. [11] Visintin A., Forward–backward parabolic equations and hysteresis, Differential and Integral Equations9 (2000) 64-69. 
  12. [12] Visintin A., Maxwell's equations with vector hysteresis, Journal of Material Processing and Manufacturing Science (to appear). 
  13. [13] Visintin A., Hyperbolic equations with hysteresis, C. R. Acad. Sc. Paris, Série I332 (2001) 315-320. Zbl0974.35077MR1821468
  14. [14] Visintin A., Maxwell equations with vector hysteresis, in preparation. 

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