Investigation of boundary control and final observation in mathematical model of motion speed potentials distribution of filtered liquid free surface
Автор: Perevozchikova K.V., Manakova N.A.
Рубрика: Краткие сообщения
Статья в выпуске: 2 т.16, 2023 года.
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In this paper, we study the problem of boundary control and final observation for one degenerate mathematical model of motion speed potentials distribution of filtered liquid free surface with the Showalter-Sidorov initial condition. The mathematical model is based on the degenerate Boussinesq equation with an inhomogeneous Dirichlet condition. This model belongs to the class of semilinear Sobolev-type models in which the nonlinear operator is p-coercive and s-monotone. In the paper, the problem of boundary control and final observation for a semilinear Sobolev-type model is considered and conditions for the existence of a control-state pair of the problem are found. In applied studies of a research problem, it is allowed to find such a potentials distributionof filtered liquid free surface, at which the system transitions from the initial condition to a given final state within a certain period of time T.
Mathematical model of motion speed potentials distribution of filtered liquid free surface, problem of boundary control and final observation, sobolev type equations
Короткий адрес: https://sciup.org/147241734
IDR: 147241734 | DOI: 10.14529/mmp230211
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