Optimal control of a thermistor problem with vanishing conductivity
Optimization and Control
2019-02-06 v1
Abstract
An optimal control of a steady state thermistor problem is considered, where the convective boundary coefficient is taken as the control variable. A distinctive feature of this paper is that the problem is considered in arbitrary dimensions, and the electrical conductivity is allowed to vanish above a threshold temperature value. The existence of a steady state is proved, an objective functional is introduced, the existence of the optimal control is proved, and the optimality system is derived.
Cite
@article{arxiv.1902.01505,
title = {Optimal control of a thermistor problem with vanishing conductivity},
author = {Volodymyr Hrynkiv and Sergiy Koshkin},
journal= {arXiv preprint arXiv:1902.01505},
year = {2019}
}
Comments
23 pages, no figures