@article{ASNSP_1992_4_19_4_615_0, author = {Xinfu Chen and Friedman, Avner}, title = {A free boundary problem for a nonlinear degenerate elliptic system modeling a thermistor}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {615--636}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 19}, number = {4}, year = {1992}, zbl = {0780.35116}, mrnumber = {1205886}, language = {en}, url = {www.numdam.org/item/ASNSP_1992_4_19_4_615_0/} }
Xinfu Chen; Friedman, Avner. A free boundary problem for a nonlinear degenerate elliptic system modeling a thermistor. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 19 (1992) no. 4, pp. 615-636. http://www.numdam.org/item/ASNSP_1992_4_19_4_615_0/
[1] Theorie der Analytischen Funktionen einer Komplexen Veränderlichen, Springer-Verlag, New York, 1976. | Zbl 0324.30001
- ,[2] The thermistor problem for conductivity which vanishes at large temperature, Quart. Appl. Math., to appear. | MR 1205940 | Zbl 0803.35051
- ,[3] A bound for the temperature in the thermistor problem, IMA J. Appl. Math., 40 (1988), 15-22. | MR 983747 | Zbl 0694.35139
,[4] Remark on existence and uniqueness for the thermistor problem under mixed boundary conditions, Quart. Appl. Math. 47 (1989), 117-121. | MR 987900 | Zbl 0694.35137
,[5] Existence results for a nonlinear elliptic systems modelling a temperature dependent electrical resistor, Ann. Mat. Pura Appl., (4) 152 (1988), 227-236. | MR 980982 | Zbl 0675.35039
- ,[6] Variational Principles and Free Boundary Problems, Wiley-InterScience, New-York, (1982). | MR 679313 | Zbl 0564.49002
,[7] A note on the thermistor problem in two space dimensions, Quart. Appl. Math., 47 (1989), 509-512. | MR 1012273 | Zbl 0692.35094
,[8] Complex variables in Industrial Mathematics, Proceeding Second European Symposium on Mathematics in Industry, ESMI II, March 1-7, 1987, Oberwolfach, H. Neunzert ed., B.G. Teubner Stuttgart and Kluwer Academic Publishers, 1988, 153-166. | MR 1128117 | Zbl 0709.00507
,[9] Existence results for the problems of Joule heating of a resistor, J. Math. Anal. Appl., to appear.
- - ,[10] Thermistors, Iliffe Books, London, 1971.
,[11] The Physics of Electrical Contacts, Oxford, Clarendon Press, 1957.
,[12] The thermistor: a problem in heat and current flow, Numeric. Methods Partial Differential Equations, 5 (1989), 259-273. | MR 1107888 | Zbl 0676.65128
,[13] Steady state Joule heating with temperature dependent conductivities, Appl. Sci. Res., 43 (1986), 55-65. | Zbl 0616.76101
,