Zafar R. Rakhmonov, Jasur E. Urunbayev, “On a problem of cross-diffusion with nonlocal boundary conditions”, J. Sib. Fed. Univ. Math. Phys., 2019, Volume 12, Issue 5,Pages <nobr>614

This article is cited in 13 papers

On a problem of cross-diffusion with nonlocal boundary conditions

Zafar R. Rakhmonov^a, Jasur E. Urunbayev^b

^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.

UDC: 517.957

Received: 01.04.2019
Received in revised form: 15.06.2019
Accepted: 20.08.2019

Language: English

DOI: 10.17516/1997-1397-2019-12-5-614-620