To the numerical modeling of solution the Cauchy problem to degenerate nonlinear parabolic equation with variable density and absorption

Abstract

In this paper, we study the properties of self-similar solutions of the Cauchy problem to degenerate type double nonlinear parabolic equation with variable density and absorption. The property a FSP of solution of the Cauchy problem for a nonlinear parabolic equation is established. Based on self-similar analysis of solution the condition of Fujita type global solvability of the Cauchy problem for double nonlinear degenerate type parabolic equation with variable density is proved. The estimates for weak solution depending on grows of density, value of the numerical parameters is established. The critical cases are studied.

Topics

Citations and references