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- Title
Optimal Control of a Thermistor Problem with Vanishing Conductivity.
- Authors
Hrynkiv, Volodymyr; Koshkin, Sergiy
- Abstract
An optimal control of a steady state thermistor problem is considered where the convective boundary coefficient is taken to be the control variable. A distinct feature of this paper is that the problem is considered in R d , where d > 2 , and the electrical conductivity is allowed to vanish above a threshold temperature value. Existence of the state system is proved. An objective functional is introduced, existence of the optimal control is proved, and the optimality system is derived.
- Subjects
THERMISTORS; ELECTRIC conductivity
- Publication
Applied Mathematics & Optimization, 2020, Vol 81, Issue 2, p563
- ISSN
0095-4616
- Publication type
Article
- DOI
10.1007/s00245-018-9511-z