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Inverse Problem on Heat Conduction in Heterogeneous Medium
M.A. Lavrentiev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
- 1 M.A. Lavrentiev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
American Journal of Computational Mathematics·Volume 04 (2014)·Pages 30–36·Published 22 January 2014·DOI10.4236/ajcm.2014.41003
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Abstract
Under consideration is a nonclassical stationary problem on heat conduction in a body with the pre-set surface temperature and heat flow. The body contains inclusions at unknown locations and with unknown boundaries. The body and inclusions have different constant thermal conductivities. The author explores the possibility of locating inclusions. The article presents an integral criterion based on which a few statements on identification of inclusions in a body are proved.
KeywordsHeat ConductionInclusionsDefectHeterogeneous MediumInverse Problem
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