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Nanosystems: Physics, Chemistry, Mathematics, 2018, Volume 9, Issue 3, Pages 323–329
DOI: https://doi.org/10.17586/2220-8054-2018-9-3-323-329 (Mi nano313) 		 
This article is cited in 5 scientific papers (total in 5 papers)

MATHEMATICS

On the behavior of the solution of a nonlinear polytropic filtration problem with a source and multiple nonlinearities

Z. R. Rakhmonov, A. I. Tillaev

National University of Uzbekistan, Applied Mathematics and Computer Analysis, Universitet, 4, Tashkent, 100174, Uzbekistan
Full-text PDF (1060 kB) Citations (5)
DOI: https://doi.org/10.17586/2220-8054-2018-9-3-323-329
Abstract: In this paper, we study the global solvability and unsolvability conditions of a nonlinear filtration problem with nonlinear boundary flux. We establish the critical global existence exponent and critical Fujita exponent of nonlinear filtration problem in inhomogeneous medium. An asymptotic representation of the solution with a compact support is obtained, which made it possible to carry out a numerical experiment.
Keywords: filtration, global solutions, blow-up, critical curve, asymptotic behavior, numerical analysis.
Received: 23.04.2018
Bibliographic databases:
Document Type: Article
PACS: 02.30.Jr, 02.30.Mv, 02.60.-x, 11.10.Jj, 11.10.Lm
Language: English
Citation: Z. R. Rakhmonov, A. I. Tillaev, “On the behavior of the solution of a nonlinear polytropic filtration problem with a source and multiple nonlinearities”, Nanosystems: Physics, Chemistry, Mathematics, 9:3 (2018), 323–329
Citation in format AMSBIB
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\by Z.~R.~Rakhmonov, A.~I.~Tillaev
\paper On the behavior of the solution of a nonlinear polytropic filtration problem with a source and multiple nonlinearities
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2018
\vol 9
\issue 3
\pages 323--329
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\crossref{https://doi.org/10.17586/2220-8054-2018-9-3-323-329}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Nanosystems: Physics, Chemistry, Mathematics
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