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Numerical approximation of null controls for the heat equation : Ill-posedness and remedies 

M̈unch A.; Zuazua E. (Inverse Problems, 2010-12-31)
The numerical approximation of exact or trajectory controls for the wave equation is known to be a delicate issue, since the pioneering work of Glowinski-Lions in the nineties, because of the anomalous behavior of the ...
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Stationary waves to viscous heat-conductive gases in half-space: Existence, stability and convergence rate 

Kawashima S.; Nakamura T.; Nishibata S.; Zhu P. (Mathematical Models and Methods in Applied Sciences, 2010-12-31)
The main concern of this paper is to study large-time behavior of solutions to an ideal polytropic model of compressible viscous gases in one-dimensional half-space. We consider an outflow problem and obtain a convergence ...
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A variational model for infin ite perimeter segmentations based on lipschitz level set functions: Denoising while keeping finely oscillatory boundaries 

Barchies M.; Kang S.H.; Le T.M.; Morini M.; Ponsiglione M. (Multiscale Modeling and Simulation, 2010-12-31)
We propose a new model for segmenting piecewise constant images with irregular object boundaries: a variant of the Chan-Vese model [T. F. Chan and L. A. Vese, IEEE Trans. Image Process., 10 (2000), pp. 266-277], where the ...
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Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system 

Araruna F.D.; E Silva P.B.; Zuazua E. (Journal of Systems Science and Complexity, 2010-12-31)
This paper shows how the so called von Kármán model can be obtained as a singular limit of a modified Mindlin-Timoshenko system when the modulus of elasticity in shear k tends to infinity, provided a regularizing term ...
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A systematic method for building smooth controls for smooth data 

Ervedoza S.; Zuazua E. (Discrete and Continuous Dynamical Systems - Series B, 2010-12-31)
We prove a regularity result for an abstract control problem z' = Az + Bv with initial datum z(0) = z0 in which the goal is to determine a control v such that z(T) = 0. Under standard admissibility and observability ...
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The Hardy inequality and the heat equation in twisted tubes 

Krejčiřík D.; Zuazua E. (Journal des Mathematiques Pures et Appliquees, 2010-12-31)
We show that a twist of a three-dimensional tube of uniform cross-section yields an improved decay rate for the heat semigroup associated with the Dirichlet Laplacian in the tube. The proof employs Hardy inequalities for ...
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Mathematical Models of Incompressible Fluids as Singular Limits of Complete Fluid Systems 

Feireisl E. (Milan Journal of Mathematics, 2010-12-31)
A rigorous justification of several well-known mathematical models of incompressible fluid flows can be given in terms of singular limits of the scaled Navier-Stokes-Fourier system, where some of the characteristic numbers ...
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Strichartz estimates for the Schrödinger equation on a tree and applications 

Ignat L.I. (SIAM Journal on Mathematical Analysis, 2010-12-31)
In this paper, we consider the Schrödinger equation on a network formed by a tree with the last generation of edges formed by infinite strips. We obtain Strichartz-like estimates for the linear semigroup and apply them to ...
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Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity 

Henao D.; Mora-Corral C. (Archive for Rational Mechanics and Analysis, 2010-12-31)
In this paper, we present and analyze a variational model in nonlinear elasticity that allows for cavitation and fracture. The main idea in unifying the theories of cavitation and fracture is to regard both cavities and ...
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Localized solutions for the finite difference semi-discretization of the wave equation [Solutions localisées pour la semi-discrétisation par différences finies de l'équation des ondes] 

Marica A.; Zuazua E. (Comptes Rendus Mathematique, 2010-12-31)
We study the propagation properties of the solutions of the finite difference space semi-discrete wave equation on a uniform grid of the whole Euclidean space. We provide a construction of high frequency wave packets that ...
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AuthorZuazua E. (9)Marica A. (2)Mora-Corral C. (2)Araruna F.D. (1)Barchies M. (1)Castro C. (1)E Silva P.B. (1)Ervedoza S. (1)Feireisl E. (1)Henao D. (1)... View MoreSubjectMindlin-Timoshenko system (2)Singular limit (2)Uniform stabilization (2)Vibrating beams (2)Von Kármán system (2)boundary layer solution (1)Compressible Navier-Stokes equation (1)Controllability (1)Denoising (1)Dirichlet Laplacian (1)... View MoreDate Issued
2010 (15)

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