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Existence of periodic solutions for the thermistor problem with the Joule–Thomson effect
Authors:Maurizio Badii
Institution:(1) Dipartimento di Matematica “G.Castelnuovo”, Università di Roma “La Sapienza”, P.le Aldo Moro 2, 00185 Rome, Italy
Abstract:This paper deals with the existence of weak periodic solutions for a model describing the electrical heating of a conductor taking into account the Joule–Thomson effect. The periodicity of solutions is established utilizing the classical Lax–Milgram theorem and the Schauder fixed point theorem.
Keywords:Nonlinear parabolic–  elliptic system  Existence of periodic solutions  Joule–  Thomson effect
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