Universal Journal of Computational Mathematics(CEASE PUBLICATION) Vol. 4(1), pp. 1 - 5
DOI: 10.13189/ujcmj.2016.040101
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Estimates and Asymptotic of Self-similar Solutions to a Nonlinear Filtration Problem with Variable Density and Nonlocal Boundary Conditions

Mirsaid Aripov , Zafar Rakhmonov ^*
Department of Informatics and Applied Programming, National University of Uzbekistan, Uzbekistan

ABSTRACT

In this paper we study the global solvability or nosolvability of a nonlinear filtration problem with nonlinear flux boundary condition in the fast diffusion case. The critical global existence and critical Fujita exponent by constructing various self-similar supersolutions and subsolutions are obtained.

KEYWORDS
Self-similar, Global Solvability, Blow-up, Critical Exponent, Asymptotic Behavior, Numerical Analysis

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Mirsaid Aripov , Zafar Rakhmonov , "Estimates and Asymptotic of Self-similar Solutions to a Nonlinear Filtration Problem with Variable Density and Nonlocal Boundary Conditions," Universal Journal of Computational Mathematics(CEASE PUBLICATION), Vol. 4, No. 1, pp. 1 - 5, 2016. DOI: 10.13189/ujcmj.2016.040101.

(b). APA Format:
Mirsaid Aripov , Zafar Rakhmonov (2016). Estimates and Asymptotic of Self-similar Solutions to a Nonlinear Filtration Problem with Variable Density and Nonlocal Boundary Conditions. Universal Journal of Computational Mathematics(CEASE PUBLICATION), 4(1), 1 - 5. DOI: 10.13189/ujcmj.2016.040101.