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A Solution to Heat Equation with Exacerbation and Stopped Heat Wave

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Moscow University Mechanics Bulletin Aims and scope

Abstract

The generalization of Samarskii–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 summer heating of moisture-saturated soil in the permafrost zone is discussed.

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Authors and Affiliations

  1. Chair of Gas and Wave Dynamics, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

    V. L. Natyaganov & Yu. D. Skobennikova

Authors
  1. V. L. Natyaganov
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  2. Yu. D. Skobennikova
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Corresponding authors

Correspondence to V. L. Natyaganov or Yu. D. Skobennikova.

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The authors declare that they have no conflicts of interest.

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Translated by E. Oborin

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Natyaganov, V.L., Skobennikova, Y.D. A Solution to Heat Equation with Exacerbation and Stopped Heat Wave. Moscow Univ. Mech. Bull. 77, 151–153 (2022). https://doi.org/10.3103/S0027133022050016

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  • DOI: https://doi.org/10.3103/S0027133022050016

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