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Title: Optimal control of nonlocal thermistor equations
Author: Ammi, M.R.S.
Torres, D.F.M.
Keywords: Existence and uniqueness
Optimal control
Optimality system
Partial differential equations
Issue Date: 2012
Publisher: Taylor & Francis
Abstract: We are concerned with the optimal control problem of the well known nonlocal thermistor problem, i.e. in studying the heat transfer in the resistor device whose electrical conductivity is strongly dependent on the temperature. Existence of an optimal control is proved. The optimality system consisting of the state system coupled with adjoint equations is derived, together with a characterisation of the optimal control. Uniqueness of solution to the optimality system, and therefore, the uniqueness of the optimal control, is established. The last part is devoted to numerical simulations.
Peer review: yes
DOI: 10.1080/00207179.2012.703789
ISSN: 0020-7179
Appears in Collections:CIDMA - Artigos

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