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Article dans une revue

Dispersive waves with multiple tunnel effect on star shaped networks

Felix Ali Mehmeti, Robert Haller-Dintelmann, Virginie Régnier

We consider the Klein-Gordon equation on a star-shaped network composed of n half-axes connected at their origins. We add a potential which is constant but dierent on each branch. The corresponding spatial operator is self-adjoint and we state explicit expressions for its resolvent and its…

Discrete and Continuous Dynamical Systems - Series S, 2013, 6 (3), pp.783-791. ⟨10.3934/dcdss.2013.6.783⟩. ⟨hal-03227666⟩

Article dans une revue

Polynomial decay rate for a wave equation with general acoustic boundary feedback laws

Serge Nicaise, Zainab Abbas

We consider the stabilization of the wave equation by a general class of acoustic boundary feedback laws at one extremity. This system is not uniformly stable but we furnish sufficient conditions that guarantee a polynomial stability. Our method combines the use of an observability inequality for…

SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 2013, 61 (1), pp.19-48. ⟨10.1007/s40324-013-0002-5⟩. ⟨hal-03134810⟩

Article dans une revue

On Riemann and Weyl compatible tensors

Ryszard Deszcz, Małgorzata Głogowska, Jan Jełowicki, Miroslava Petrović-Torgašev, Georges Zafindratafa

We investigate semi-Riemannian manifolds satisfying some curvature conditions. Those conditions are strongly related to pseudosymmetry.

Publications de l'Institut Mathématique., 2013, 94 (108), pp.111-124. ⟨10.2298/PIM1308111D⟩. ⟨hal-03146560⟩

Article dans une revue

Robust Approximation of Singularly Perturbed Delay Differential Equations by the hp Finite Element Method

Serge Nicaise, Xenophontos Christos

Abstract. We consider the finite element approximation of the solution to a singularly perturbed second order differential equation with a constant delay. The boundary value problem can be cast as a singularly perturbed transmission problem, whose solution may be decomposed into a smooth part, a…

Computational Methods in Applied Mathematics, 2013, 13 (1), pp.21-37. ⟨10.1515/cmam-2012-0001⟩. ⟨hal-03212509⟩

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DIELECTRIC AND PIEZOELECTRIC PROPERTIES OF LEAD-FREE ( Bi 0.5 Na 0.5 ) 0.94 Ba 0.06 TiO 3 + x% Ce 2 O 3 + y% La 2 O 3 + z% Y 2 O 3 COMPOUNDS SYNTHESIZED BY SOL–GEL TECHNIQUE

A. Chaouchi, M. Saidi, Sophie d'Astorg, Mohamed Rguiti, Christian Courtois

( Bi 0.5 Na 0.5 ) 0.94 Ba 0.06 TiO 3 + x% Ce 2 O 3 + y% La 2 O 3 + z% Y 2 O 3 compounds (named BNT–BT– x/y/z) were synthesized by a sol–gel technique, for (x,y,z) = (0,0,0), (0.25, 0.25, 0.25), (0.25, 0.5, 0.5), (0.5, 0.25, 0.25) and (0.5, 0.5, 0.25). The structural variation according to the…

Journal of Advanced Dielectrics, 2013, 02 (04), pp.1250022. ⟨10.1142/S2010135X12500221⟩. ⟨hal-04281123⟩

Article dans une revue

The ternary commutator obstruction for internal crossed modules

T. Vanderlinden, Manfred Hartl

In finitely cocomplete homological categories, co-smash products give rise to (possibly higher-order) commutators of subobjects. We use binary and ternary co-smash products and the associated commutators to give characterisations of internal crossed modules and internal categories, respectively.…

Advances in Mathematics, 2013, 232, pp.571-607. ⟨10.1016/j.aim.2012.09.024⟩. ⟨hal-03234974⟩

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Curvature inequalities for Lagrangian submanifolds

B.-Y. Chen, F. Dillen, J. van Der Veken, Luc Vrancken

Let M-n be an n-dimensional Lagrangian submanifold of a complex space form (M-n) over tilde (4c) of constant holomorphic sectional curvature 4c. We prove a pointwise inequality delta(n(1),...,n(k)) <= a(n,k,n(1),...n(h))parallel to H parallel to(2) + b(n,k,n(1),...n(k))c, with on the left-hand…

Differential Geometry and its Applications, 2013, 31 (6), pp.808-819. ⟨10.1016/j.difgeo.2013.09.006⟩. ⟨hal-03233905⟩

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A posteriori error estimator based on gradient recovery by averaging for convection-diffusion-reaction problems approximated by discontinuous Galerkin methods

Emmanuel Creusé, Serge Nicaise

We consider some (anisotropic and piecewise constant) convection-diffusion-reaction problems in domains of R2, approximated by a discontinuous Galerkin method with polynomials of any degree. We propose two a posteriori error estimators based on gradient recovery by averaging. It is shown that these…

IMA Journal of Numerical Analysis, 2013, 33 (1), pp.212-241. ⟨10.1093/imanum/drr052⟩. ⟨hal-00531621⟩

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Robustness study and reliability growth based on exploratory design of experiments and statistical analysis: a case study using a train door test bench

Laurent Cauffriez, Pierre Loslever, Nathalie Caouder, Fabien Turgis, Reynald Copin

This paper presents a methodology to improve the reliability/robustness of a complex mechatronic system for passenger access, which is greatly stressed over its life cycle. The proposed methodology aims to weed out design problems during the development phase and to test the robustness of the…

International Journal of Advanced Manufacturing Technology, 2013, 66 (1-4), pp.27-44. ⟨10.1007/s00170-012-4303-0⟩. ⟨hal-03135718⟩

Article dans une revue

Exponential stability of the wave equation on a star shaped network with indefinite sign damping

Farah Abdallah, Denis Mercier, Serge Nicaise

In this paper, we study the stability of the wave equation on a star shaped network in the presence of indefinite sign damping terms. Extending the results of Freitas and Zuazua in [13], we search for sufficient conditions on the damping coefficients for which the problem becomes exponentially…

Palest. J. Math, 2013, 2 (2), pp.113-143. ⟨hal-03134884⟩