Numerical simulation of start control and final observation in fluid filtration model

The article is devoted to the model to regulate the velocity potential of the free surface of the filtering fluid. This model is based on the problem on start control and final observation by weak generalized solutions of a fluid filtration model, which belongs to the class of mathematical models based on semi-linear Sobolev-type equations with p-coercive and s-monotone operators. We find the sufficient conditions under which there exists a solution to the problem on start control and final observation of the model under study. An algorithm for the numerical solution method is constructed and a computational experiment is presented.