Le Matematiche (Dec 2011)

Remark on the number of solutions in the thermistor problem

  • Giovanni Cimatti

Journal volume & issue
Vol. 66, no. 2
pp. 49 – 60

Abstract

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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.

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