Universal Journal of Computational Mathematics(CEASE PUBLICATION) Vol. 5(3), pp. 57 - 67
DOI: 10.13189/ujcmj.2017.050302
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Finite Speed of the Perturbation Distribution and Asymptotic Behavior of the Solutions of a Parabolic System not in Divergence Form


Alisher Matyakubov *
Department of Applied Mathematics and Computer Analysis, National University of Uzbekistan, Uzbekistan

ABSTRACT

The property of a finite speed of a perturbation distribution to the Cauchy problem for a parabolic system not in divergence form based on comparison method and an asymptotic behavior of a self-similar solution for both slow and fast diffusion cases are established. It is shown that the coefficients of the main term of the asymptotic of solution satisfy some system of nonlinear algebraic equations. It is found the Zeldovich-Kompaneets-Barenblatt type solution to the parabolic system.

KEYWORDS
Not in Divergence Form, Finite Speed, Perturbation, Global Solutions, Asymptotic Behavior, Numerical Analysis

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Alisher Matyakubov , "Finite Speed of the Perturbation Distribution and Asymptotic Behavior of the Solutions of a Parabolic System not in Divergence Form," Universal Journal of Computational Mathematics(CEASE PUBLICATION), Vol. 5, No. 3, pp. 57 - 67, 2017. DOI: 10.13189/ujcmj.2017.050302.

(b). APA Format:
Alisher Matyakubov (2017). Finite Speed of the Perturbation Distribution and Asymptotic Behavior of the Solutions of a Parabolic System not in Divergence Form. Universal Journal of Computational Mathematics(CEASE PUBLICATION), 5(3), 57 - 67. DOI: 10.13189/ujcmj.2017.050302.