Remark on the number of solutions in the thermistor problem

  • Giovanni Cimatti
Keywords: Thermistor problem, Nonlocal problem, Multiplicity of solutions

Abstract

In this paper we study the nonlocal thermistor problem which models two simple electrical circuits. We prove that under certain assumptions on the electrical conductivity multiple states of thermal and electrical equilibria (typically three) are possible. All mathematical methods used are elementary.
Published
2011-12-13
Section
Articoli