On the New Nonlinear Properties of the Nonlinear Heat Conductivity Problem
Aripov Mersaid Mirsiddikovich1, Sayfullaeva Maftukha Zafrullayevna2
1Aripov Mersaid Mirsiddikovich*, Department of Applied Mathematics and Computer Analysis, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan.
2Sayfullaeva Maftukha Zafrullayevna, the Department of Applied Mathematics and Computer Analysis, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan.
Manuscript received on October 11, 2019. | Revised Manuscript received on 19 October, 2019. | Manuscript published on November 10, 2019. | PP: 1542-1543 | Volume-9 Issue-1, November 2019. | Retrieval Number: A4416119119/2019©BEIESP | DOI: 10.35940/ijitee.A4416.119119
Open Access | Ethics and Policies | Cite | Mendeley | Indexing and Abstracting
© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
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.
Keywords: Degenerate Nonlinear, Parabolic Equation, not Divergent, Exact Solution, New Effects, Localization, Estimate.
Scope of the Article: Thermal Engineering