Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 5, Pages 61–63 (Mi vmumm4500)  
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A solution to heat equation with exacerbation and stopped heat wave

V. L. Natyaganov, Yu. D. Skobennikova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The generalization of Samarskiy–Sobol solution in the mode of heat exacerbation and localization is obtained for a quasilinear heat equation in half-space. The analogy of this solution with moisture-saturated soil permafrost zone summer heating is discussed.
Key words: heat localization, stopped heat wave, exacerbation mode, heat equation, phase transition, heating front.
Received: 08.09.2021
English version:
Moscow University Mechanics Bulletin, 2022, Volume 77, Issue 5, Pages 151–153
DOI: https://doi.org/10.3103/S0027133022050016
Bibliographic databases:
Document Type: Article
UDC: 517.95: 532.54
Language: Russian
Citation: V. L. Natyaganov, Yu. D. Skobennikova, “A solution to heat equation with exacerbation and stopped heat wave”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 5, 61–63; Moscow University Mechanics Bulletin, 77:5 (2022), 151–153
Citation in format AMSBIB
\Bibitem{NatSko22}
\by V.~L.~Natyaganov, Yu.~D.~Skobennikova
\paper A solution to heat equation with exacerbation and stopped heat wave
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2022
\issue 5
\pages 61--63
\mathnet{http://mi.mathnet.ru/vmumm4500}
\elib{https://elibrary.ru/item.asp?id=49553384}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2022
\vol 77
\issue 5
\pages 151--153
\crossref{https://doi.org/10.3103/S0027133022050016}
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