Publicaciones

• Thèse

Classes de Steinitz et classes galoisiennes réalisables d'extensions non abéliennes, Steinitz classes and realizable Galois module classes of nonabelian extensions

Farah Sbeity

Soient k un corps de nombres, Cl(k) son groupe des classes et Ok son anneau d'entiers. Soit Rm(k;Γ) e sous-ensemble de Cl(k) formé par les éléments qui sont réalisables par les classes de Steinitz d'extensions galoisiennes de k, modérées et dont le groupe de Galois est isomorphe à ô...., Let k be a number field, Cl(k) its class group and Ok its ring of integers. Let Rm(k;Γ) be the subset of Cl(k) consisting of those classes which are realizable as Steinitz classes of tame Galois extensions of k with Galois group isomorphic to Γ. LetMbe a maximal Ok-order in the semi-simple algebra...

Mathématiques [math]. Université de Valenciennes et du Hainaut-Cambrésis, 2010. Français. ⟨NNT : 2010VALE0018⟩. ⟨tel-03004776⟩

• Communication dans un congrès

Dependable Sensor Networks

Francoise Sailhan, Thierry Delot, Animesh Pathak, Aymeric Puech, Matthieu Roy

The explosion in the instrumentation of our environment is driving the need for developing sensor networks that not only observe and measure but that also show a high-level of fault tolerance. Towards this goal, we identify faults and key challenges related to the development and deployment of self...

Atelier sur la GEstion des Données dans les Systèmes d'Information Pervasifs (GEDSIP). Conférence INFORSID, May 2010, X, France. pp.1-15. ⟨hal-01125818⟩

• Pré-publication, Document de travail

Corner Singularities and Analytic Regularity for Linear Elliptic Systems. Part I: Smooth domains.

Martin Costabel, Monique Dauge, Serge Nicaise

This is a preliminary version of the first part of a book project that will consist of four parts. We are making it available in electronic form now, because there is a demand for some of the technical tools it provides, in particular a detailed presentation of analytic elliptic regularity...

2010. ⟨hal-00453934v2⟩

• Thèse

Les sous-variétés de type CR de la sphère de dimension 6, CR submanifolds of the six-sphere, CR podmnogostrukosti šestodimenzione fere

Miroslava Ž Antić

Soit M une sous-variété Riemannienne d'une variété presque complexe, où nous notons la structure presque complexe par J. Alors il est naturel de regarder les propriétés des sous-variétés par rapport à cette structure J. Si l'espace tangent reste invariant par J, nous dirons que la sous-..., Let M be a Riemannian submanifold of the six dimensional sphere equipped with its almost complex structure J. It is natural to investigate submanifolds M according to their relations to J. If the tangent bundle of M is invariant for J, then M is an almost complex submanifold, and if J maps the...

Mathématiques [math]. Université de Valenciennes et du Hainaut-Cambrésis; Univerzitet u Beogradu, 2010. Français. ⟨NNT : 2010VALE0001⟩. ⟨tel-03065345⟩

• 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 [1984-2001], 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⟩