Cimatti, Giovanni:
Voltage-Current Characteristcs of Varistors and Thermistors
Bollettino dell'Unione Matematica Italiana Serie 9 2 (2009), fasc. n.3, p. 635-650, (English)
pdf (189 Kb), djvu (136 Kb). | MR 2569296 | Zbl 1181.35275
Sunto
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.
Referenze Bibliografiche
[1]
W. ALLEGRETTO -
H. XIE,
Existence of solutions for the time-dependent thermistor problem equations,
IMA J. Appl. Math.,
48 (
1992), 271-281. |
fulltext (doi) |
MR 1167737 |
Zbl 0754.35170[2]
J. BURBEA,
A Numerical determination of the modulus of doubly connected domains by using the Bergman curvature,
Math. of Comp.,
25 (
1971), 743-756. |
fulltext (doi) |
MR 289758 |
Zbl 0234.65035[3]
G. CIMATTI,
Remark on existence and uniqueness for thermistor problem under mixed boundary conditions,
Quart. Appl. Math.,
47 (
1989), 117-121. |
fulltext (doi) |
MR 987900 |
Zbl 0694.35137[4] Components and Materials, Philips Technical Manual, August 1979.
[6]
D. GAIER,
Konstructive Methoden der Konformen Abbildung (
Springer-Verlag,
1964). |
MR 199360[8] L. LANDAU - E. LIFCHITZ, Électrodynamique des Milieux Continus, Editions MIR (Moscou, 1957).
[9] F. LLWWELLYN JONES, The Physics of Electrical Contacts (Oxford University Press, 1957).
[10]
Z. NEHARI,
Conformal Mapping,
McGraw Hill (New York,
1952). |
MR 45823[11]
P. PUCCI -
J. SERRIN,
The Maximum Principle (
Birkhäuser,
2007). |
MR 2356201[12]
J. W. S. REYLEIGH,
The Theory of Sound (
Dover, New York,
1945). |
MR 16009
Con il contributo del Ministero per i Beni e le Attività Culturali