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Optimal Control of a Thermistor Problem with Vanishing Conductivity.
- Source :
- Applied Mathematics & Optimization; Apr2020, Vol. 81 Issue 2, p563-590, 28p
- Publication Year :
- 2020
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- THERMISTORS
ELECTRIC conductivity
Subjects
Details
- Language :
- English
- ISSN :
- 00954616
- Volume :
- 81
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Applied Mathematics & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 142611479
- Full Text :
- https://doi.org/10.1007/s00245-018-9511-z