Journal of Siberian Federal University. Mathematics & Physics: On a Problem of Cross-Diffusion with Nonlocal Boundary Conditions

Journal of Siberian Federal University. Mathematics & Physics / On a Problem of Cross-Diffusion with Nonlocal Boundary Conditions

Issue: Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (5)
Authors: Rakhmonov, Zafar R.; Urunbayev, Jasur E.
Contact information: Rakhmonov, Zafar R.: National University of Uzbekistan University, 4, Tashkent, 100174 Uzbekistan; ; Urunbayev, Jasur E.: Samarkand State University University Blvd., 15, Samarkand, 140104 Uzbekistan;
Keywords: nonlinear parabolic system; cross-diffusion; critical Fujita curve; blow-up
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
Pages: 614–620
DOI: 10.17516/1997-1397-2019-12-5-614-620
Paper at repository of SibFU: https://elib.sfu-kras.ru/handle/2311/125645