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Certain question of feedback stabilization for Navier-Stokes equationsтезисы доклада
- Автор: Fursikov A.V.
- Сборник: International Conference "Mathematical Hydrodynamics and Parabolic Equations" in honor of Vsevolod Solonnikov. Abstracrs
- Тезисы
- Год издания: 2013
- Место издания: V.A.Steklov Mathematical Institute St. Petersburg, Russia
- Первая страница: 8
- Аннотация: We consider the feedback stabilization problem for the Navier-Stokes equations defined in a bounded domain D. Control via a forcing term (both distributed and impulsive) supported in a subdomain of D, via the initial condition, (start control) and via boundary condition are studied, and relationships between these different kinds of control are presented. The precise meaning of "feedback control"for different kinds of control is discussed, and a feedback map providing control via the state variable is constructed for start, impulsive, and distributed controls. The case of boundary feedback control is also discussed.
- Добавил в систему: Фурсиков Андрей Владимирович