Existence of Periodic Solutions for the Quasi-Static Thermoelastic Thermistor Problem |
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Authors: | Maurizio Badii |
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Institution: | (1) Dipartimento di Matematica “G. Castelnuovo”, Università di Roma “La Sapienza”, P.le A. Moro 2, 00185 Roma, Italy |
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Abstract: | We deal with a new model for the thermistor problem formulated as a coupled system of PDE’s involving nonlinear energy heat
equation, stationary charge conservation equation of electrical current and thermoelastic equations of displacement. We establish
the existence of weak periodic solutions rewriting our system as an abstract problem in order to utilize the maximal monotone
mappings theory and a fixed point argument for a suitable operator equation.
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Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 35B10 35D05 35K55 35M10 |
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