ON ESTIMATES AND ASYMPTOTIC SOLUTIONS OF DOUBLE NONLINEAR PROBLEMS REACTION - DIFFUSION WITH SOURCES AND INHOMOGENEOUS DENSITY

摘要

In this paper we study the global solvability and nosolvability of a double nonlinear problem of reaction - diffusion in inhomogeneous media, which generalized early known results other authors. Establish the critical Fujita exponent, which play an important role in the study of qualitative properties of nonlinear models of reaction - diffusion, thermal conductivity, filtering, and other physical, chemical, and biological processes. The leading term of the asymptotics of global and blow - up solutions are obtained. Using the asymptotic formula as the initial approximation for the iterative process, a numerical calculation carried out and analyzed the results.