Displaying similar documents to “Controllability of a simplified model of fluid-structure interaction”

A singular controllability problem with vanishing viscosity

Ioan Florin Bugariu, Sorin Micu (2014)

ESAIM: Control, Optimisation and Calculus of Variations

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The aim of this paper is to answer the question: Do the controls of a vanishing viscosity approximation of the one dimensional linear wave equation converge to a control of the conservative limit equation? The characteristic of our viscous term is that it contains the fractional power α of the Dirichlet Laplace operator. Through the parameter α we may increase or decrease the strength of the high frequencies damping which allows us...

A uniformly controllable and implicit scheme for the 1-D wave equation

Arnaud Münch (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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This paper studies the exact controllability of a finite dimensional system obtained by discretizing in space and time the linear 1-D wave system with a boundary control at one extreme. It is known that usual schemes obtained with finite difference or finite element methods are not uniformly controllable with respect to the discretization parameters and Δ. We introduce an implicit finite difference scheme which differs from the usual centered one by additional terms of order ...

Boundary control of the Maxwell dynamical system: lack of controllability by topological reasons

Mikhail Belishev, Aleksandr Glasman (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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The paper deals with a boundary control problem for the Maxwell dynamical system in a bounbed domain Ω ⊂ . Let Ω ⊂ Ω be the subdomain filled by waves at the moment , the moment at which the waves fill the whole of . The following effect occurs: for small enough the system is approximately controllable in Ω whereas for larger a lack of controllability is possible. The subspace of unreachable states is of finite dimension determined by topological characteristics...

Uniform controllability of the linear one dimensional Schrödinger equation with vanishing viscosity

Sorin Micu, Ionel Rovenţa (2012)

ESAIM: Control, Optimisation and Calculus of Variations

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This article considers the linear 1-d Schrödinger equation in (0) perturbed by a vanishing viscosity term depending on a small parameter  > 0. We study the boundary controllability properties of this perturbed equation and the behavior of its boundary controls as goes to zero. It is shown that, for any time sufficiently large but independent of and for each initial datum in ...