Publications

• Article dans une revue

Depth-sensing indentation modeling for determination of Elastic modulus of thin films

Arnaud Tricoteaux, G. Duarte, Didier Chicot, Éric Le Bourhis, E. Bemporad, J. Lesage

Mechanics of Materials, 2010, 42 (2), pp.166-174. ⟨10.1016/j.mechmat.2009.11.016⟩. ⟨hal-03577752⟩

• Pré-publication, Document de travail

Morphismes quadratiques entre modules sur un anneau carré

Henri Gaudier, Manfred Hartl

We introduce the notions of a commutative square ring $R$ and of a quadratic map between modules over $R$, called $R$-quadratic map. This notion generalizes various notions of quadratic maps between algebraic objects in the literature. We construct a category of quadratic maps between $R$-modules…

2010. ⟨hal-00447433⟩

• Article dans une revue

A remark on the stabilization of the 1-d wave equation, Une remarque sur la stabilisation de l'équation des ondes 1-d

Serge Nicaise, Julie Valein

We consider the wave equation on an interval of length 1 with an interior damping at ξ and with Dirichlet boundary condition at the two ends. It is well-known that, if ξ is rational, the energy does not decay to 0. In this case, we prove that the energy decays exponentially to a constant which we…, Nous considérons l'équation des ondes sur un intervalle de longueur 1 avec un amortissement en un point ξ intérieur et avec la condition au bord de Dirichlet aux deux extrémités. Il est bien-connu que, si ξ est rationnel, l'énergie ne tend pas vers 0. Dans ce cas, nous prouvons que l…

Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2010, 348 (1-2), pp.47-51. ⟨10.1016/j.crma.2009.11.015⟩. ⟨hal-00599639⟩

• Article dans une revue

Quasi exponential decay of a finite difference space discretization of the 1-d wave equation by pointwise interior stabilization

Serge Nicaise, Julie Valein

We consider the wave equation on an interval of length 1 with an interior damping at ξ . It is well-known that this system is well-posed in the energy space and that its natural energy is dissipative. Moreover, as it was proved in Ammari et al. (Asymptot Anal 28(3-4):215-240, 2001), the exponential…

Advances in Computational Mathematics, 2010, 32 (3), pp.303-334. ⟨10.1007/s10444-008-9108-1⟩. ⟨hal-00599626⟩

• Article dans une revue

On the observability of abstract time-discrete linear parabolic equations

Sylvain Ervedoza, Julie Valein

This article aims at analyzing the observability properties of time-discrete approximation schemes of parabolic equations Ż + Az = 0, where A is a self- adjoint positive definite operator with dense domain and compact resolvent. We analyze the observability properties of these diffusive systems for…

Revista Matematica Complutense, 2010, 23 (1), pp.163-190. ⟨10.1007/s13163-009-0014-y⟩. ⟨hal-00599624⟩

• Article dans une revue

Stabilization of second order evolution equations with unbounded feedback with delay

Serge Nicaise, Julie Valein

We consider abstract second order evolution equations with unbounded feedback with delay. Existence results are obtained under some realistic assumptions. Sufficient and explicit conditions are derived that guarantee the exponential or polynomial stability. Some new examples that enter into our…

ESAIM: Control, Optimisation and Calculus of Variations, 2010, 16 (2), pp.420-456. ⟨10.1051/cocv/2009007⟩. ⟨hal-00599632⟩

• Article dans une revue

Weighted regularization for composite materials in electromagnetism

Patrick Ciarlet, François Lefèvre, Stéphanie Lohrengel, Serge Nicaise

In this paper, a weighted regularization method for the time-harmonic Maxwell equations with perfect conducting or impedance boundary condition in composite materials is presented. The computational domain Ω is the union of polygonal or polyhedral subdomains made of different materials. As a result…

ESAIM: Mathematical Modelling and Numerical Analysis, 2010, 44 (1), pp.75-108. ⟨10.1051/m2an/2009041⟩. ⟨hal-00873065⟩

• Article dans une revue

Stabilization of second order evolution equations with unbounded feedback with time-dependent delay

Emilia Fridman, Serge Nicaise, Julie Valein

We consider abstract second order evolution equations with unbounded feedback with time-varying delay. Existence results are obtained under some realistic assumptions. We prove the exponential decay under some conditions by introducing an abstract Lyapunov functional. Our abstract framework is…

SIAM Journal on Control and Optimization, 2010, 48 (8), pp.5028-5052. ⟨10.1137/090762105⟩. ⟨hal-00599627⟩

• Chapitre d'ouvrage

Mellin analysis of weighted Sobolev spaces with nonhomogeneous norms on cones

Martin Costabel, Monique Dauge, Serge Nicaise

On domains with conical points, weighted Sobolev spaces with powers of the distance to the conical points as weights form a classical framework for describing the regularity of solutions of elliptic boundary value problems, cf.\ papers by Kondrat'ev and Maz'ya-Plamenevskii. Two classes of…

Ari Laptev, Tamara Rozhkovskaya. Around the Research of Vladimir Maz'ya I, Function Spaces., Springer, pp.105-136, 2010, International Mathematical Series volume 11. ⟨hal-00402645⟩

• Article dans une revue

Mechanism of Metal Oxide Nanoparticle Loading in SBA-15 by the Double Solvent Technique

Juliette van Der Meer, Isabelle Bardez-Giboire, Cyrille Albert-Mercier, Bertrand Revel, Anne Davidson, Renaud Denoyel

The interaction between SBA-15 mesoporous silica, alkane solvents, and water was studied to understand the mechanism of the so-called double solvent technique. This method facilitates the loading of the pores of SBA-15 with a metal oxide precursor soln., by prewetting the SBA-15 with an alkane. In…

Journal of Physical Chemistry C, 2010, 114 (8), pp.3507-3515. ⟨10.1021/jp907002y⟩. ⟨hal-00604812⟩