Inverse Problem on Heat Conduction in Heterogeneous Medium

Albert Schwab

doi:10.4236/ajcm.2014.41003

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Inverse Problem on Heat Conduction in Heterogeneous Medium

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DOI: 10.4236/ajcm.2014.41003 3,984 Downloads 5,765 Views

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Albert Schwab

Affiliation(s)

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

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

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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