Publicaciones

• THESE

Étude théorique et numérique des équations non-linéaires de Sobolev, The mathematical study and the numerical analysis of a nonlinear Sobolev equation

Fatiha Bekkouche

L'objectif de la thèse est l'étude mathématique et l'analyse numérique du problème non linéaire de Sobolev. Un premier chapitre est consacré à l'analyse a priori pour le problème de Sobolev où on utilise des méthodes de semi-discrétisation explicite en temps. Des estimations d..., The purpose of this work is the mathematical study and the numerical analysis of the nonlinear Sobolev problem. A first chapter is devoted to the a priori analysis for the Sobolev problem, where we use an explicit semidiscretization in time. A priori error estimates were obtained ensuring that the...

Equations aux dérivées partielles [math.AP]. Université de Valenciennes et du Hainaut-Cambresis, 2018. Français. ⟨NNT : 2018VALE0018⟩. ⟨tel-01861259⟩

• COMM

Industrie 4.0, 3 ème révolution industrielle, transition énergétique, etc. l'accélération des mutations technologiques induira-t-elle une métamorphose de la pédagogie ?

Jean Vareille, Jean-Paul Becar

Le présent article s'intéresse aux liens qui existent entre les pédagogies pratiquées dans les formations technologiques qualifiantes et diplômantes et le rythme des mutations technologiques. Tout un chacun constate dans sa vie quotidienne les effets de l'accélération des technologies de...

Congrès National de la Recherche en IUT, CNRIUT2018, Jun 2018, Aix-en-Provence, France. ⟨hal-01882697⟩

• COMM

Les imprimantes 3D participent à la créativité des étudiants

Jean Vareille, Jean-Paul Becar, Vincent Cayez, Yoann Notteau

L'impression 3D étend son domaine d'applications à toute l'industrie, à la recherche et au secteur éducatif. Le papier décrit au travers d'expériences réalisées, comment la créativité des étudiants peut être stimulée par l'usage de cette technologie récente, attractive et...

Congrès National de la Recherche en IUT, CNRIUT2018, Jun 2018, Aix-en-Provence, France. ⟨hal-01882702⟩

• POSTER

Synthèse et étude structurale du nouveau phosphate de type alluaudite Na1,85Mg1,85In1,15(PO4)3

Ahmed Ould Saleck, Claudine Follet, Abderrazzak Assani, Mohamed Saadi, Cyrille Mercier, Lahcen El Ammari

Journées Nord-Ouest Européennes des Jeunes Chercheurs (JNOEJC 2018), Jun 2018, Villeneuve d'Ascq,, France. ⟨hal-04318739⟩

• ART

Are calcium silicate hydrates (C-S-H) present in alkali-activated glass cullet cement?

Baptiste Marchand, S. Lanier, C. Davy, Cyrille Albert-Mercier, G. Tricot

This contribution analyzes the structure of sodium-lime-silica (SLS) glass alkali-activated with NaOH. The mix forms an alkali-activated cement (AAC), which has proven to be mechanically resistant when immerged under water. The aim is to determine whether the presence of calcium in the glass powder...

Materials Letters, 2018, 219, pp.104 - 108. ⟨10.1016/j.matlet.2018.02.046⟩. ⟨hal-01793442⟩

• COMM

Modeling of Rosen-type piezoelectric transformer by mean of a polynomial approach

Derandraibe Jeannot Falimiaramanana, Faniry Emilson Ratolojanahary, Ismail Naciri, P.M. Rabotovao, Lahoucine Elmaimouni, Jean-Etienne Lefebvre, Mohamed Rguiti, Tadeusz Gryba

The electromechanical behavior of piezoelectric transformers (PTs) is predicted using a polynomial approach. It is the first time that a polynomial method is applied to study structures made up of both an actuator and a transducer. The method consists in incorporating directly into the equations of...

6th International Conference on Multimedia Computing and Systems (ICMCS 2018), May 2018, Rabat, Morocco. pp.143-148, ⟨10.1109/ICMCS.2018.8525914⟩. ⟨hal-03582336⟩

• ART

Existence and multiplicity for elliptic p-Laplacian problems with critical growth in the gradient

Colette De Coster, Antonio J. Fernández Sánchez

We consider the boundary value problem (Pλ) −∆pu = λc(x)|u| p−2u + µ(x)|∇u| p + h(x) , u ∈ W1,p 0 (Ω) ∩ L∞(Ω) , where Ω ⊂ RN , N ≥ 2, is a bounded domain with smooth boundary. We assume c, h ∈ Lq (Ω) for some q > max{N/p, 1} with c 0 and µ ∈ L∞(Ω). We prove existence and uniqueness results in...

Calculus of Variations and Partial Differential Equations, 2018, 57 (3), 42 p. ⟨10.1007/s00526-018-1346-6⟩. ⟨hal-03137670⟩

• ART

Indirect stability of the wave equation with a dynamic boundary control

Denis Mercier, Serge Nicaise, Mohamad Ali Sammoury, Ali Wehbe

In this paper, we consider a damped wave equation with a dynamic boundary control. First, combining a general criteria of Arendt and Batty with Holmgren's theorem we show the strong stability of our system. Next, we show that our system is not uniformly stable in general, since it is the case...

Mathematical News / Mathematische Nachrichten, 2018, 291 (7), pp.1114-1146. ⟨10.1002/mana.201700021⟩. ⟨hal-01956619⟩

• ART

Regularity and a priori error analysis on anisotropic meshes of a Dirichlet problem in polyhedral domains

Hengguang Li, Serge Nicaise

Consider the Poisson equation on a polyhedral domain with the given data in a weighted L 2 space. We establish new regularity results for the solution with possible vertex and edge singularities and propose anisotropic finite element algorithms approximating the singular solution in the optimal...

Numerische Mathematik, 2018, 139 (1), pp.47-92. ⟨10.1007/s00211-017-0936-0⟩. ⟨hal-01956612⟩

• ART

Density and trace results in generalized fractal networks

Serge Nicaise, Adrien Semin

The first aim of this paper is to give different necessary and sufficient conditions that guarantee the density of the set of compactly supported functions into the Sobolev space of order one in infinite p-adic weighted trees. The second goal is to define properly a trace operator in this Sobolev...

ESAIM: Mathematical Modelling and Numerical Analysis, 2018, 52 (3), pp.1023-1049. ⟨10.1051/m2an/2018021⟩. ⟨hal-01956605⟩