Publications

• Article dans une revue

Solving the biharmonic Dirichlet problem on domains with corners

Colette De Coster, Serge Nicaise, Guido Sweers

The biharmonic Dirichlet boundary value problem on a bounded domain is the focus of the present paper. By Riesz’ representation theorem the existence and uniqueness of a weak solution is quite direct. The problem that we are interested in appears when one is looking for constructive approximations…

Mathematical News / Mathematische Nachrichten, 2015, 288 (8-9), pp.854-871. ⟨10.1002/mana.201400022⟩. ⟨hal-03142424⟩

• Communication dans un congrès

A propos des points massiques

Jean-Paul Becar

Journée “Exposons-Nous”, Université de Valenciennes et du Hainaut-Cambrésis, May 2015, Valenciennes, France. ⟨hal-03132898⟩

• Communication dans un congrès

Generating quadric design elements by means of geometry and optimization

Gudrun Albrecht, Marco Paluszny, Marianela Lentini

Modelling, Computation and Optimization in Information Systems and Management Sciences, May 2015, Metz, France. ⟨hal-03155994⟩

• Article dans une revue

Stability analysis of a class of uncertain switched systems on time scale using Lyapunov functions

Fatima Zohra Taousser, Michael Defoort, Mohamed Djemai

This paper deals with the stability analysis of a class of uncertain switched systems on non-uniform time domains. The considered class consists of dynamical systems which commute between an uncertain continuous-time subsystem and an uncertain discrete-time subsystem during a certain period of time…

Nonlinear Analysis: Hybrid Systems, 2015, 16, pp.13-23. ⟨10.1016/j.nahs.2014.12.001⟩. ⟨hal-03184519⟩

• Article dans une revue

Error analysis for a mixed DG method for folded Naghdi's shell, Analyse d'erreur pour une méthode de Galerkin discontinue mixte pour une coque de Naghdi pliée

Serge Nicaise, Ismail Merabet

In this Note, we perform some error analyses of a mixed discontinuous formulation for Naghdi's equations for thin linearly elastic shells. Using a combination between the a priori and the a posteriori techniques, we derive a quasi-optimal a priori error estimate and an efficient and reliable a…, Dans cette Note, nous fournissons des estimations d'erreur d'une méthode d'éléments finis discontinus mixte proposée pour résoudre les équations du modèle de Naghdi de coques linéairement élastiques. En utilisant une combinaison entre les techniques de l'analyse a priori et…

Comptes Rendus. Mathématique, 2015, 353 (7), pp.659-664. ⟨10.1016/j.crma.2015.04.017⟩. ⟨hal-03158953⟩

• Article dans une revue

Stability of abstract–wave equation with delay and a Kelvin–Voigt damping

Kaïs Ammari, Serge Nicaise, Cristina Pignotti

In this paper we consider a stabilization problem for an abstract wave equation with delay and a Kelvin-Voigt damping. We prove an exponential stability result for appropriate damping coefficients. The proof of the main result is based on a frequency-domain approach.

Asymptotic Analysis, 2015, 95 (1-2), pp.21-38. ⟨10.3233/ASY-151317⟩. ⟨hal-03138786⟩

• Article dans une revue

SPECIAL LAGRANGIAN 4-FOLDS WITH SO(2)⋊S3-SYMMETRY IN COMPLEX SPACE FORMS

Franki Dillen, Christine Scharlach, Kristof Schoels, Luc Vrancken

In this article we obtain a classification of special Lagrangian submanifolds in complex space forms subject to a pointwise SO(2)⋊S3-symmetry on the second fundamental form. The algebraic structure of this form has been obtained by Marianty Ionel in [8]. However, the classification of special…

Taiwanese Journal of Mathematics, TJM, 2015, 19 (3), pp.759-792. ⟨10.11650/tjm.19.2015.4951⟩. ⟨hal-03148413⟩

• Article dans une revue

Dielectric, ferroelectrics properties and impedance spectroscopy analysis of the [(Na0.535K0.480)0.966Li0.058](Nb0.90Ta0.10)O3-based lead-free ceramics

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

Polycrystalline of [(Na0.535K0.480)0.966Li0.058](Nb0.90Ta0.10)O3 samples were prepared using the high-temperature solid-state reaction technique. X-ray diffraction (XRD) analysis indicates the formation of a single-phase with orthorhombic structure. AC impedance plots were used as tool to analyze…

Journal of Advanced Dielectrics, 2015, 05 (01), 7 p. ⟨10.1142/S2010135X15500071⟩. ⟨hal-03116581⟩

• Article dans une revue

Continuum of solutions for an elliptic problem with critical growth in the gradient

David Arcoya, Colette De Coster, Louis Jeanjean, Kazunaga Tanaka

We consider the boundary value problem(Pλ)u∈H01(Ω)∩L∞(Ω):-δu=λc(x)u+μ(x)|∇u|2+h(x), where Ω⊂RN, N≥3 is a bounded domain with smooth boundary. It is assumed that c{greater-than but not equal to}0, c, h belong to Lp(Ω) for some p>N/2 and that μ∈L∞(Ω). We explicitly describe a condition which…

Journal of Functional Analysis, 2015, 268 (8), pp.2298 - 2335. ⟨10.1016/j.jfa.2015.01.014⟩. ⟨hal-01755994⟩

• Article dans une revue

Influence of heat and ultrasonic treatments on the setting and maturation of a glass-ionomer cement

Marion Dehurtevent, Etienne Deveaux, Jean-Christophe Hornez, Lieven Robberecht, Nicolas Tabary, Feng Chai

Purpose: To compare the effect of different treatments (heat capsule, ultrasound, and dual treatments) on the setting kinetics and maturation properties of a conventional GIC (EQUIA, GC) to that of standard setting. Methods: The optimal durations of the heat and ultrasonic treatments were…

American Journal of Dentistry, 2015, American Journal of Dentistry, 28 (2), pp.105. ⟨hal-02448986⟩