A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is
We consider two coupled nonlinear p.d.e's describing heat and current flow in a thermistor. For certain boundary conditions these equations may be reduced to one nonlinear o.d.e. and Laplace's equation, as noted in . We give a geometrical interpretation of this reduction in two space dimensions in terms of a conformal map from the thermistor onto a rectangle.doi:10.1090/qam/1012273 fatcat:yjlrceokgba6rgwaldqafw4rou