External asymptotic expansions of the solutions of the problem of nonstationary thermal conductivity of laminated anisotropic inhomogeneous shells under different boundary conditions on faces are constructed. We analyze the obtained two-dimensional resolving equations and investigate the asymptotic properties of the solutions of the problem of thermal conductivity. A physical justification of some features of the asymptotic expansion of temperature is presented.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 52, No. 1, pp. 172–187, January–March, 2009.
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Nemirovskii, Y.V., Yankovskii, A.P. Asymptotic solution of the problem of nonstationary thermal conductivity of laminated anisotropic inhomogeneous shells. J Math Sci 168, 718–738 (2010). https://doi.org/10.1007/s10958-010-0021-z
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DOI: https://doi.org/10.1007/s10958-010-0021-z