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Feedback stabilization for the Navier-Stokes equations: theory and calculationsстатья
- Авторы: Fursikov A.V., Kornev A.A.
- Сборник: Mathematical Aspects of Fluid Mechanics
- Серия: London Mathematical Society Lecture Notes Series
- Том: 402
- Год издания: 2012
- Место издания: Cambridge University Press Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, Sao Paulo, Delhi, Mexico City
- Первая страница: 130
- Последняя страница: 172
- Аннотация: This paper considers the feedback stabilization problem for the Navier-Stokes equations defined in a bounded domain. Control via a forcing term (both distributed and impulsive) supported in a subdomain, via the initial condition, and via boundary conditions are studied, and relationships between these different kinds of control are presented. The precise meaning of 'feedback control' is discussed, and a feedback map providing control via the state variable is constructed for initial and distributed control (in the latter case for the linear Oseen equations only). Numerical algorithms for the calculation of stable invariant manifolds and projection operators on these sets are discussed. Finally the results of a numerical stabilization of a particular fluid flow are presented.
- Добавил в систему: Корнев Андрей Алексеевич