ON THE BEHAVIOR OF UNBOUNDED SOLUTIONS TO NONLINEAR NON DIVERGENCE PARABOLIC EQUATIONS

Abstract

In this article, the qualitative properties of nonlinear mathematical models of diffusion
processes described by parabolic and non-divergent equations are studied, as well as their practical
applications. In particular, the asymptotic behavior of solution for non-divergent diffusion equations with
sources or absorption is analyzed, estimates of the solutions are obtained, and software tools facilitating the
investigation of these nonlinear models are developed.