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**Heat conduction in a plate with two-sided thin multilayer coating under nonstationary heating.**
*(Ukrainian, English)*
Zbl 1349.74025

Mat. Metody Fiz.-Mekh. Polya 58, No. 2, 148-157 (2015); translation in J. Math. Sci., New York 223, No. 2, 184-197 (2017).

The investigation of this paper is based on the analytical solution of one-dimensional nonstationary problem of heat conductivity for a plate with two-sided thin multilayer coating. The solution is obtained in terms of generalized boundary conditions. The analysis reveals regularities of the heat transfer process in a body coating under heating by ambient media with variable temperature.

Reviewer: A. Ja. Olejnik (Kyïv)

### MSC:

74A15 | Thermodynamics in solid mechanics |

74K20 | Plates |

74A40 | Random materials and composite materials |

74F05 | Thermal effects in solid mechanics |

### Keywords:

one-dimensional boundary-value problem of heat conductivity; generalization of boundary conditions
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\textit{V. A. Shevchuk}, Mat. Metody Fiz.-Mekh. Polya 58, No. 2, 148--157 (2015; Zbl 1349.74025); translation in J. Math. Sci., New York 223, No. 2, 184--197 (2017)

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### References:

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