Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
Abstract
In this article, we discuss one problem of nonlinear thermal conductivity with double nonlinearity; an exact analytical solution has been found for it, the analysis of which allows revealing a number of characteristic features of thermal processes in nonlinear media. The following nonlinear effects have been established: the inertial effect, the finite propagation velocity of thermal disturbances, the spatial localization of heat, and the effect of the finite time of the existence of a thermal structure in an absorption medium.
First Page
200
Last Page
208
References
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Recommended Citation
Aripov, Mersaid and Sayfullayeva, Maftuha
(2020)
"On the new nonlinear properties of the nonlinear heat conductivity problem in nondivergence form,"
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences: Vol. 3:
Iss.
2, Article 8.
DOI: https://doi.org/10.56017/2181-1318.1095