On the behavior of solutions for a system of multidimensional diffusion equations with nonlinear boundary conditions
Zafar RakhmonovNational University of Uzbekistan named after Mirzo Ulugbek, University Street 4, Tashkent, 100174, UzbekistanA.A. AlimovNational University of Uzbekistan named after Mirzo Ulugbek, University Street 4, Tashkent, 100174, UzbekistanJasur UrunbaevDigital Technologies and Artificial Intelligence Research Institute Boz-2, 17A, Tashkent, 100125, Uzbekistan
Ochiq kirish: yoʻq
ABI
Annotatsiya
In this paper, we study the conditions of global solvability and unsolvability in time of solutions to the system of multidimensional diffusion equations with nonlinear boundary conditions. We constructed various self-similar solutions of the system of multidimensional diffusion equations in the slow diffusion case. We established critical exponents of the Fujita type and critical exponents for the global existence of the solution.
Hali tarjima qilinmagan