Abstract
The problem of the determination of the stationary temperature field of a system simulated by a wall separating two different media is formulated. On the one hand, the wall is equipped with an anisotropic thermal-protective coating, which is exposed to local thermal effects in conditions of heat transfer with the external environment, as well as a thermoactive gasket that operates according to the feedback principle. The solution was obtained with the methods of integral transformations in an analytically closed form.
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