The formal analogy between the stationary axisymmetric Einstein-Maxwell equations and the equations of electrical heating of conductors

  • Giovanni Cimatti Dipartimento di MatematicaUniversità di Pisa

Abstract

Two problems of the general theory of relativity and a problem in the electrical heating of conductors (the so-called thermistor problem), lead to the same set of partial differential equations. This permits a unified treatment of these different problems. The related boundary value problem is studied using a suitable transformation.

Published
2018-06-05
Section
Articoli