Investigation of Various Types of Control Problems for One Nonlinear Model of Filtration

A wide class of mathematical physics problems can be considered within the framework semi-linear Sobolev type equations, which describe various processes (for example deformation processes, occurring in semiconductors, oscillatory motion propagation media, and so on). The article is devoted to study control (optimal, start rigid) one model type, based on equation describing process changing concentration potential a viscoelastic fluid filtered porous medium (the nonlinear diffusion matter). We find sufficient conditions under there exists solution problem study. An algorithm for numerical method constructed computational experiment presented.