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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 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

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.

UDC: 517.95: 532.54

Received: 08.09.2021


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2022, 77:5, 151–153

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© Steklov Math. Inst. of RAS, 2026