Summary: | The Stefan problem in the heat propagation in a two-phase region, which is relevant in the study of the processes of motion of the freezing boundary, taking into account the properties of both frozen and thawed soil, has been considered. In contrast to the standard approach to solving the Stefan problem, when the temperature of one phase is fixed, the paper considers the case when the heat fluxes are determined by the temperature distribution both in one and the other phase. This allows us to clarify the process of the phase boundary motion (the boundary of soil freezing), which must be taken into account when founding the carcasses of the construction of high-rise buildings. The solution is given in a form that makes it possible to implement by numerical methods on an accessible electronic computer technology.
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