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Some controllability results for the 2D Kolmogorov equation 

Beauchard, K.; Zuazua, E. (2009-12-31)
In this article, we prove the null controllability of the 2D Kolmogorov equation both in the whole space and in the square. The control is a source term in the right-hand side of the equation, located on a subdomain, that ...
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Hardy inequalities, observability, and control for the wave and schrödinger equations with singular potentials 

Vancostenoble, J.; Zuazua, E. (2009-12-31)
We address the question of exact controllability of the wave and Schrodinger equa\-tions perturbed by a singular inverse-square potential. Exact boundary controllability is proved in the range of subcritical coefficients ...
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Asymptotic stability of the stationary solution to an initial boundary value problem for the Mullins equation of fourth order 

Zhu, P. (2009-12-31)
In the present article we first study the existence of the stationary solution to an initial boundary value problem for the Mullins equation of fourth order, which was proposed by Mullins ["Two-dimensional motion of idealized ...
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Uniformly exponentially stable approximations for a class of damped systems 

Ervedoza, S.; Zuazua, E. (2009-12-31)
We consider time semi-discrete approximations of a class of exponentially stable infinite-dimensional systems modeling, for instance, damped vibrations. It has recently been proved that for time semi-discrete systems, due ...
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Numerical dispersive schemes for the nonlinear Schrödinger equation 

Ignat, L.I.; Zuazua, E. (2009-12-31)
We consider semidiscrete approximation schemes for the linear Schrödinger equation and analyze whether the classical dispersive properties of the continuous model hold for these approximations. For the conservative finite ...
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Minimization of length and curvature on planar curves 

Boscain, U.; Charlot, G.; Rossi, F. (2009-12-31)
In this paper we consider the problem of reconstructing a curve that is partially hidden or corrupted by minimizing the functional ∫ √1+K 2 ds, depending both on length and curvature K. We fix starting and ending points ...
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Stabilization of the wave equation on 1-D networks 

Valein, J.; Zuazua, E. (2009-12-31)
In this paper we study the stabilization of the wa ve equation on general 1-d networks. For that, we transfer known observability results in the context of control problems of conservative systems (see [R. Dáger and E. ...
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Homogenization of fiber reinforced brittle materials: The extremal cases 

Barchiesi, M.; Dal Maso, G. (2009-12-31)
We analyze the behavior of a fragile material reinforced by a reticulated elastic unbreakable structure in the case of antiplane shear. The microscopic geometry of this material is described by means of two small parameters: ...
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2-D euler shape design on nonregular flows using adjoint rankine-hugoniot relations 

Baeza, A.; Castro, C.; Palacios, F.; Zuazua, E. (2009-12-31)
Optimal aerodynamic shape design aims to find the minimum of a functional that describes an aerodynamic property, by controlling the partial differential equation modeling the dynamics of the flow that surrounds an aircraft, ...
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Convergence of a two-grid algorithm for the control of the wave equation 

Ignat, L.I.; Zuazua, E. (2009-12-31)
We analyze the problem of boundary observability of the finite-difference space semidiscretizations of the 2-d wave equation in the square.We prove the uniform (with respect to the meshsize) boundary observability for the ...
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AuthorZuazua, E. (9)Ignat, L.I. (2)Zhu, P. (2)Baeza, A. (1)Barchiesi, M. (1)Beauchard, K. (1)Boscain, U. (1)Castro, C. (1)Charlot, G. (1)Dal Maso, G. (1)... másSubjectObservability (2)Stabilization (2)Wave equation (2)AmpersandGammacolon-convergence (1)Carleman inequalities (1)Control (1)Controllability (1)Damped systems (1)Elastica functional (1)Exact controllability (1)... másFecha
2009 (13)

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