Thermal runaway in a non-local problem modelling Ohmic heating: Part I: Model derivation and some special cases
暂无分享,去创建一个
[1] Nathaniel Chafee,et al. THE ELECTRIC BALLAST RESISTOR: HOMOGENEOUS AND NONHOMOGENEOUS EQUILIBRIA , 1981 .
[2] Avner Friedman,et al. The thermistor problem for conductivity which vanishes at large temperature , 1993 .
[3] A. Lacey. Mathematical Analysis of Thermal Runaway for Spatially Inhomogeneous Reactions , 1983 .
[4] A. Lacey. Thermal runaway in a non-local problem modelling Ohmic heating. Part II: General proof of blow-up and asymptotics of runaway , 1995, European Journal of Applied Mathematics.
[5] H. Fujita. On the nonlinear equations $\Delta u + e^u = 0$ and $\partial v/\partial t = \Delta v + e^v$ , 1969 .
[6] L. Salvadori,et al. Nonlinear differential equations : invariance, stability and bifurcation , 1981 .
[7] W. Allegretto,et al. C a Ω¯solutions of a class of nonlinear degenerate elliptic systems arising in the thermistor problem , 1991 .
[8] Giovanni Cimatti. Remark on existence and uniqueness for the thermistor problem under mixed boundary conditions , 1989 .
[9] Ian A. Frigaard,et al. Temperature surges in current-limiting circuit devices , 1992 .
[10] H. Keller,et al. Some Positone Problems Suggested by Nonlinear Heat Generation , 1967 .
[11] G. Cimatti. The stationary thermistor problem with a current limiting device , 1990 .