Ma'lumot

ON THE PROPERTIES OF SOLUTIONS OF A CROSS-DIFFUSION SYSTEM WITH NONLINEAR BOUNDARY FLUX

Z.R.Rakhmonov1 , J.E.Urunbaev2 , B.Allaberdiyev1


 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



https://doi.org/10.59251/2181-1296.v3.1211.1065

Sahifalar soni 01-13 | 171 Ko'rishlar | 88 Yuklab olishlar

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