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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/jsfu794
https://www.mathnet.ru/eng/jsfu/v12/i5/p614
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A U Mamatov, A Yu Nurumova, “Modeling of nonequilibrium cross-diffusion systems”, J. Phys.: Conf. Ser., 2388:1 (2022), 012027
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