Inverse Problem on Heat Conduction in Heterogeneous Medium

Albert Schwab

doi:10.4236/ajcm.2014.41003

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American Journal of Computational Mathem... > Vol.4 No.1, February 2014

Inverse Problem on Heat Conduction in Heterogeneous Medium ()

Albert Schwab

M.A. Lavrentiev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia.

DOI: 10.4236/ajcm.2014.41003 PDF HTML XML 4,130 Downloads 5,962 Views

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.

Keywords

Heat Conduction; Inclusions; Defect; Heterogeneous Medium; Inverse Problem

Share and Cite:

A. Schwab, "Inverse Problem on Heat Conduction in Heterogeneous Medium," American Journal of Computational Mathematics, Vol. 4 No. 1, 2014, pp. 30-36. doi: 10.4236/ajcm.2014.41003.

Conflicts of Interest

The authors declare no conflicts of interest.

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