Estimates and Asymptotic of Self-similar Solutions to a Nonlinear Filtration Problem with Variable Density and Nonlocal Boundary Conditions
Мирсаид АриповDepartment of Informatics and Applied Programming, National University of Uzbekistan, UzbekistanZafar RakhmonovDepartment of Informatics and Applied Programming, National University of Uzbekistan, Uzbekistan
ABI
Abstract
In this paper we study the global solvability or nosolvability of a nonlinear filtration problem with nonlinear flux boundary condition in the fast diffusion case. The critical global existence and critical Fujita exponent by constructing various self-similar supersolutions and subsolutions are obtained.