In this paper, based on a self-similar analysis and the method of standard equations, the properties of a nonlinear cross-diffusion system coupled via nonlocal boundary conditions are studied. We are investigated the qualitative properties of solutions of a nonlinear system of parabolic equations of crossdiffusion in a medium coupled with nonlinear boundary conditions. It is proved that for certain values of the numerical parameters of the nonlinear cross-diffusion system of parabolic equations coupled via nonlinear boundary conditions, they may not have global solutions in time. Based on a self-similar analysis and the principle of comparing solutions, a critical exponent of the Fujita type and a critical value of global solvability are established. Using the comparison theorem, upper bounds for global solutions and lower bounds for blow-up solutions are obtained
| Mualliflar | Zafar Rakhmonov, Jasur Urunbaev, B A l l a b e r d i y e v |
|---|---|
| Jurnal | Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi |
| Nashr sanasi | 2020-04-11 |
| Jild | 3 |
| Son | 121/1 |
| Betlar | 1-13 |
| Til | en |
| DOI | 10.59251/2181-1296.v3.1211.1065 |
DOI: 10.59251/2181-1296.v3.1211.1065 · Maqolaning asl sahifasi
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