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Journal of Siberian Federal University. Mathematics & Physics, 2019, Volume 12, Issue 5, Pages 614–620
DOI: https://doi.org/10.17516/1997-1397-2019-12-5-614-620 (Mi jsfu794) 		 
This article is cited in 13 scientific papers (total in 13 papers)

On a problem of cross-diffusion with nonlocal boundary conditions

Zafar R. Rakhmonova, Jasur E. Urunbayevb

a National University of Uzbekistan, University, 4, Tashkent, 100174, Uzbekistan
b Samarkand State University, University Blvd., 15, Samarkand, 140104, Uzbekistan
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DOI: https://doi.org/10.17516/1997-1397-2019-12-5-614-620
Abstract: Condition of global existence of solution of a non-linear system of cross-diffusion with non-linear boundary conditions is studied in the paper. Critical exponents of Fujita type and critical exponents of global existence of solution are established.
Keywords: nonlinear parabolic system, cross-diffusion, critical Fujita curve, blow-up.
Received: 01.04.2019
Received in revised form: 15.06.2019
Accepted: 20.08.2019
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: English
Citation: Zafar R. Rakhmonov, Jasur E. Urunbayev, “On a problem of cross-diffusion with nonlocal boundary conditions”, J. Sib. Fed. Univ. Math. Phys., 12:5 (2019), 614–620
Citation in format AMSBIB
\Bibitem{RakUru19}
\by Zafar~R.~Rakhmonov, Jasur~E.~Urunbayev
\paper On a problem of cross-diffusion with nonlocal boundary conditions
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 5
\pages 614--620
\mathnet{http://mi.mathnet.ru/jsfu794}
\crossref{https://doi.org/10.17516/1997-1397-2019-12-5-614-620}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000501589200010}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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