Abstract
Explicit solutions are found for inverse problems for the quasilinear heat conduction equation in the case of self-similarity of the process for the multidimensional case. The unknown thermophysical characteristics depend on the temperature distribution.
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A. D. Iskenderov, Dokl. Akad. Nauk SSSR, 225, No. 5, 1005–1008 (1975).
O. M. Alifanov, Inverse Problems of Heat Transfer [in Russian], Moscow (1988).
O. M. Alifanov, E. A. Artyukhin, and S. V. Rumyantsev, Extremal Methods for Solving Ill-Posed Problems [in Russian], Moscow (1988).
M. V. Klibanov, Dokl. Akad. Nauk SSSR, 280. No. 3, 533–536 (1985).
A. D. Iskenderov and A. A. Akhundov, Izv. Akad. Nauk Az. SSR, Ser. Fiz. -Tekh. Mat. Nauk, No. 3, 82–85 (1976).
A. D. Iskenderov and T. B. Gardashov, Dokl. Akad. Nauk Az, SSR, 43, No. 2, 17–20 (1987).
A. D. Iskenderov and T. B. Gardashov, Differents. Uravn., 26, No. 7, 1148–1153 (1990).
A. D. Iskenderov, Dzh. F. Dzhafarov, and T. B. Gardashov, Inzh.-fiz. Zh., 46, No. 6, 1030–1031 (1984).
A. D. Iskenderov, T. B. Gardashov, and T. M. Ibragimov, Inzh.-fiz. Zh., 56, No. 1, 127–132 (1989).
A. N. Tikhonov and V. Ya. Arsenin, Methods for Solving Ill-Posed Problems [in Russian], Moscow (1986).
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Gardashov, T.B. Solution of inverse problems for the quasilinear heat conduction equation in the self-similar mode for the multidimensional case. Journal of Engineering Physics 61, 1157–1162 (1991). https://doi.org/10.1007/BF00872897
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DOI: https://doi.org/10.1007/BF00872897