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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
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.
DOI:
https://doi.org/10.17516/1997-1397-2019-12-5-614-620
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UDC:
517.957 Received: 01.04.2019 Received in revised form: 15.06.2019 Accepted: 20.08.2019
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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
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\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}
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http://mi.mathnet.ru/eng/jsfu794 http://mi.mathnet.ru/eng/jsfu/v12/i5/p614
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