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Short Communication
Mathematical Modelling
Simulation of Heat Waves in An Nonlinear Anisotropic Space
V. F. Formalyov, I. A. Selin, E. L. Kuznetcova Dept. of Computational Mathematics and Programming, Moscow Aviation Institute (State University of Aerospace Technologies), Moscow
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
For the first time analytical solution of the problem with boundary conditions in the non-linear anisotropic space for the quasilinear parabolic heat equation where heat conductivity tensor's components are temperature functions is obtained. This solution has show a wave type of the heat diffusion. Wave's fronts are ellipse in the anisotropic space at different time moment. Existence of the solution in wave's front and time derivative and space derivatives different orders has been analysed dependence from power of temperature which influences heat conductivity tensor's components.
Keywords:
nonlinear problems, analytical methods, front of temperature indignation, additional boundary conditions, integral
of thermal balance.
Original article submitted 23/XI/2009 revision submitted – 10/XII/2009
Citation:
V. F. Formalyov, I. A. Selin, E. L. Kuznetcova, “Simulation of Heat Waves in An Nonlinear Anisotropic Space”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(20) (2010), 239–243
Linking options:
https://www.mathnet.ru/eng/vsgtu745 https://www.mathnet.ru/eng/vsgtu/v120/p239
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Abstract page: | 446 | Full-text PDF : | 248 | References: | 57 | First page: | 1 |
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