Journal Article

Optimal control for the thermistor problem with a current limiting device

Giovanni Cimatti

in IMA Journal of Mathematical Control and Information

Published on behalf of Institute of Mathematics and its Applications

Volume 24, issue 3, pages 339-345
Published in print September 2007 | ISSN: 0265-0754
Published online September 2006 | e-ISSN: 1471-6887 | DOI: http://dx.doi.org/10.1093/imamci/dnl026
Optimal control for the thermistor problem with a current limiting device

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The problem of finding in the thermistor problem the optimal difference of applied potential in order to minimize a suitable cost functional involving the temperature is studied. We find the optimal system in the elementary case of constant electric conductivity. In addition, a theorem of existence of the optimal solution is given in the general case of conductivities depending on the temperature.

Keywords: thermistor problem; optimal control; current limiting device

Journal Article.  0 words. 

Subjects: Mathematics

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