On a Problem of Cross-Diffusion with Nonlocal Boundary Conditions

DOI10.17516/1997-1397-2019-12-5-614-620OpenAlexW2981117406MaRDI QIDQ5853433

Jasur E. Urunbayev, Zafar R. Rakhmonov

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu794

zbMATH Keywords

blow-upcross-diffusionnonlinear parabolic systemcritical Fujita curve

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Cites Work

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• Note on critical exponents for a system of heat equations coupled in the boundary conditions
• Mathematical biology. Vol. 1: An introduction.
• Critical Fujita exponents for degenerate parabolic equations coupled via nonlinear boundary flux
• Blow-up sets and Fujita type curves for a degenerate parabolic system with nonlinear boundary conditions
• The Role of Critical Exponents in Blowup Theorems
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• The blow-up rate for a system of heat equations completely coupled in the boundary conditions

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