Voltage-Current Characteristcs of Varistors and Thermistors

Giovanni Cimatti

Bollettino dell'Unione Matematica Italiana (2009)

  • Volume: 2, Issue: 3, page 635-650
  • ISSN: 0392-4041

Abstract

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The voltage-current characteristics of two classes of nonlinear resistors (varistors and thermistors) modelled as three-dimensional bodies is derived from the corresponding systems of nonlinear elliptic boundary value problems. Theorems of existence and uniqueness of solutions are presented, together with certain properties of monotonicity of the conductance.

How to cite

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Cimatti, Giovanni. "Voltage-Current Characteristcs of Varistors and Thermistors." Bollettino dell'Unione Matematica Italiana 2.3 (2009): 635-650. <http://eudml.org/doc/290585>.

@article{Cimatti2009,
abstract = {The voltage-current characteristics of two classes of nonlinear resistors (varistors and thermistors) modelled as three-dimensional bodies is derived from the corresponding systems of nonlinear elliptic boundary value problems. Theorems of existence and uniqueness of solutions are presented, together with certain properties of monotonicity of the conductance.},
author = {Cimatti, Giovanni},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {635-650},
publisher = {Unione Matematica Italiana},
title = {Voltage-Current Characteristcs of Varistors and Thermistors},
url = {http://eudml.org/doc/290585},
volume = {2},
year = {2009},
}

TY - JOUR
AU - Cimatti, Giovanni
TI - Voltage-Current Characteristcs of Varistors and Thermistors
JO - Bollettino dell'Unione Matematica Italiana
DA - 2009/10//
PB - Unione Matematica Italiana
VL - 2
IS - 3
SP - 635
EP - 650
AB - The voltage-current characteristics of two classes of nonlinear resistors (varistors and thermistors) modelled as three-dimensional bodies is derived from the corresponding systems of nonlinear elliptic boundary value problems. Theorems of existence and uniqueness of solutions are presented, together with certain properties of monotonicity of the conductance.
LA - eng
UR - http://eudml.org/doc/290585
ER -

References

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  2. BURBEA, J., A Numerical determination of the modulus of doubly connected domains by using the Bergman curvature, Math. of Comp., 25 (1971), 743-756. Zbl0234.65035MR289758DOI10.2307/2004341
  3. CIMATTI, G., Remark on existence and uniqueness for thermistor problem under mixed boundary conditions, Quart. Appl. Math., 47 (1989), 117-121. Zbl0694.35137MR987900DOI10.1090/qam/987900
  4. Components and Materials, Philips Technical Manual, August 1979. 
  5. DACOROGNA, B., Direct Methods in the Calculus of Variations (Springer-Verlag, 1989). Zbl0703.49001MR990890DOI10.1007/978-3-642-51440-1
  6. GAIER, D., Konstructive Methoden der Konformen Abbildung (Springer-Verlag, 1964). MR199360
  7. HOWISON, S., Practical Applied Mathematics, Cambridge Texts in Applied Mathematics (2005). Zbl1226.00032MR2134353DOI10.1017/CBO9780511813252
  8. LANDAU, L. - LIFCHITZ, E., Électrodynamique des Milieux Continus, Editions MIR (Moscou, 1957). 
  9. LLWWELLYN JONES, F., The Physics of Electrical Contacts (Oxford University Press, 1957). 
  10. NEHARI, Z., Conformal Mapping, McGraw Hill (New York, 1952). MR45823
  11. PUCCI, P. - SERRIN, J., The Maximum Principle (Birkhäuser, 2007). MR2356201
  12. REYLEIGH, J. W. S., The Theory of Sound (Dover, New York, 1945). MR16009

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