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Journal of Siberian Federal University. Mathematics & Physics, 2016, Volume 9, Issue 2, Pages 225–234
DOI: https://doi.org/10.17516/1997-1397-2016-9-2-225-234
(Mi jsfu480)
 

This article is cited in 8 scientific papers (total in 8 papers)

On the properties of solutions of multidimensional nonlinear filtration problem with variable density and nonlocal boundary condition in the case of fast diffusion

Zafar R. Rakhmonov

National University of Uzbekistan, 100174, University street, 4, Tashkent, Uzbekistan
Full-text PDF (842 kB) Citations (8)
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Abstract: The conditions of global existence of solutions of a nonlinear filtration problem in an inhomogeneous medium are investigated in this paper. Various techniques such as the method of standard equations, self-similar analysis and the comparison principle are used to obtain results. The influence of inhomogeneous medium on the evolution process is analyzed. The critical global existence exponent and the critical Fujita exponent are obtained. Asymptotic behavior of solutions in the case of the global solvability is established.
Keywords: filtration, asymptotics, critical exponent, inhomogeneous density.
Received: 30.08.2015
Received in revised form: 04.12.2015
Accepted: 12.01.2016
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: English
Citation: Zafar R. Rakhmonov, “On the properties of solutions of multidimensional nonlinear filtration problem with variable density and nonlocal boundary condition in the case of fast diffusion”, J. Sib. Fed. Univ. Math. Phys., 9:2 (2016), 225–234
Citation in format AMSBIB
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\by Zafar~R.~Rakhmonov
\paper On the properties of solutions of multidimensional nonlinear filtration problem with variable density and nonlocal boundary condition in the case of fast diffusion
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 2
\pages 225--234
\mathnet{http://mi.mathnet.ru/jsfu480}
\crossref{https://doi.org/10.17516/1997-1397-2016-9-2-225-234}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412008200012}
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  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал Сибирского федерального университета. Серия "Математика и физика"
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