Mathematical model of soil freezing
Matematičeskie zametki SVFU, Tome 24 (2017) no. 2, pp. 85-95 Cet article a éte moissonné depuis la source Math-Net.Ru

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We compare two mathematical models of the freezing process of a moist soil saturated with an aqueous solute of salt. For the mathematical model with constant coefficients in the heat equation in a two-phase domain, the possibility of a continuous transition of water saturation to zero at the interface between two-phase and frozen domains is shown.
Mots-clés : phase transition, diffusion
Keywords: thermodynamic equilibrium, self-similar solution, thermal diffusivity, water saturation, moisture.
@article{SVFU_2017_24_2_a6,
     author = {V. V. Popov},
     title = {Mathematical model of soil freezing},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {85--95},
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     volume = {24},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2017_24_2_a6/}
}
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V. V. Popov. Mathematical model of soil freezing. Matematičeskie zametki SVFU, Tome 24 (2017) no. 2, pp. 85-95. http://geodesic.mathdoc.fr/item/SVFU_2017_24_2_a6/

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