Geodesic
A solution to heat equation with exacerbation and stopped heat wave
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2022), pp. 61-63

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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. 
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     author = {V. L. Natyaganov and Yu. D. Skobennikova},
     title = {A solution to heat equation with exacerbation and stopped heat wave},
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V. L. Natyaganov; Yu. D. Skobennikova. A solution to heat equation with exacerbation and stopped heat wave. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2022), pp. 61-63. http://geodesic.mathdoc.fr/item/VMUMM_2022_5_a11/