Abstract
The solution of the third boundary-value problem for a half-space with an arbitrary smooth initial condition is constructed in an explicit form, and the Green function is presented. Using the method of special superpositions, the solution of a nonstationary problem is found for a prism whose cross section is a regular triangle. Multiplication of Green functions for a half-space or a wall of thickness bo and for a triangular prism yielded the solutions for a semiinfinite and a bounded prisms of triangular cross section.
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References
A. V. Luikov, Heat-Conduction Theory [in Russian], Moscow (1967).
A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Moscow (1977).
M. P. Krasnov, Integral Equations [in Russian], Moscow (1975).
V. A. Il’in, Spectral Theory of Differential Operators. Self-Conjugate Differential Operators [in Russian], Moscow (1991).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 71, No.4, pp. 749–754, July–August, 1998.
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Chemyshov, A.D. Exact Solutions of Nonstationary Heat-Conduction Problems for a Half-Space and a Triangular Prism. J Eng Phys Thermophys 71, 746–752 (1998). https://doi.org/10.1007/BF03449557
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DOI: https://doi.org/10.1007/BF03449557