Publicaciones

• Article dans une revue

The heat equation under conditions on the moments in higher dimensions

Delio Mugnolo, Serge Nicaise

We consider the heat equation on the N-dimensional cube (0, 1)N and impose different classes of integral conditions, instead of usual boundary ones.Well-posedness results for the heat equation under the condition that the moments of order 0 and 1 are conserved had been known so far only in the case...

Mathematical News / Mathematische Nachrichten, 2015, 288 (2-3), pp.295-308. ⟨10.1002/mana.201300298⟩. ⟨hal-03163722⟩

• Pré-publication, Document de travail

SPECTRAL ANALYSIS OF THE SCHRÖDINGER OPERATOR ON BINARY TREE-SHAPED NETWORKS AND APPLICATIONS

Kaïs Ammari, Denis Mercier, Virginie Régnier

In this paper we analyse the spectrum of the dissipative Schrödinger operator on binary tree-shaped net-works. As applications, we study the stability of the Schrödinger system using a Riesz basis as well as the transfer function associated to the system.

2015. ⟨hal-01109134⟩

• Article dans une revue

Analysis of eddy current formulations in two-dimensional domains with cracks

Stéphanie Lohrengel, Serge Nicaise

In this paper, the eddy current problem in a two-dimensional conductor containing a crack is studied. The decomposition of the electric field into a piecewise regular part and a singular part deriving from scalar potentials localized at the crack tip and at the crack mouth is proved. At the crack...

ESAIM: Mathematical Modelling and Numerical Analysis, 2015, 49 (1), pp.141-170. ⟨10.1051/m2an/2014027⟩. ⟨hal-01888364⟩

• Communication dans un congrès

Céramiques thermomécaniques

Jean Denape, Anne Leriche

Présentation générale sur le comportement mécanique des céramiques et les domaines d'applications des céramiques thermomécaniques détaillant : comportement mécanique : élastique linéaire fragile ; la fragilité : origine physique et conséquences ; critère de fragilité : la ténacité ; critère de...

Ecole "Céramiques Techniques" du Groupe Français de la Céramique, Oct 2015, Porquerolles (Var), France. ⟨hal-04432573⟩

• Article dans une revue

Développement de capteurs interdigités pour le contrôle de structures

Rafatou Takpara, Dame Fall, Marc Duquennoy, Mohammadi Ouaftouh, Christian Courtois, Mohamed Rguiti, M. Gonon, N. Maurye, Gregory Martic, Véronique Lardot, Laurent Seronveaux, J. Halleux, Christine Pelegris, Mohamed Guessasma

Ce travail porte sur la réalisation de capteurs interdigités (IDT) afin de caractériser la qualité des revêtements et les surfaces des structures. L’enjeu de cette étude est triple. Il s'agit premièrement de disposer de capteurs efficaces pour générer des ondes acoustiques de surface SAW (...

Lebanese Science Journal, 2015, 16 (Special), pp.69-80. ⟨hal-03116778⟩

• Article dans une revue

Stabilization and asymptotic behavior of a generalized telegraph equation

Serge Nicaise

We analyze the stability of different models of the telegraph equation set in a real interval. They correspond to the coupling between a first-order hyperbolic system and a first-order differential equation of parabolic type. We show that some models have an exponential decay rate, while other ones...

Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2015, 66 (6), pp.3221-3247. ⟨10.1007/s00033-015-0568-0⟩. ⟨hal-03151992⟩

• Communication dans un congrès

A ROBOTICS EXPERIENCE WITH MOOC

Jean-Charles Canonne, Jean-Paul Becar, Aurel Fratu, Mariana Fratu

Since a couple of decades, authors are running towards the vanishing student motivations. They have applied a large amount of teaching tools or methods as the slide rule, overhead projector, programmable calculator, software, internet, moodle and supervised projects. Project based learning is one...

ICERI 2015, Nov 2015, SEVILLE, Spain. ⟨hal-02513151⟩

• Article dans une revue

A posteriori residual error estimators with mixed boundary conditions for quasi-static electromagnetic problems

Zuqi Tang, Y. Le Menach, Emmanuel Creusé, Serge Nicaise, Francis Piriou, Nicolas Nemitz

The purpose of this paper is to propose some a posteriori residual error estimators (REEs)to evaluate the accuracy of the finite element method for quasi-static electromagnetic problems with mixed boundary conditions. Both classical magnetodynamic A-ϕ and T-Ω formulations in harmonic case are...

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2015, 34 (3), pp.724-739. ⟨10.1108/COMPEL-10-2014-0256⟩. ⟨hal-01243637⟩

• Ouvrages

Stabilization of elastic systems by collocated feedback

Kaïs Ammari, Serge Nicaise

Springer Verlag, 2124, 178 p., 2015, Lecture Notes in Mathematics. ⟨hal-03227597⟩

• Article dans une revue

Almost complex surfaces in the nearly Kähler S3 X S3

John Bolton, Franki Dillen, Bart Dioos, Luc Vrancken

In this paper we initiate the study of almost complex surfaces in the nearly Kähler S3×S3. We show that on such a surface it is possible to define a global holomorphic differential, which is induced by an almost product structure on the nearly Kähler S3×S3. We also find a local correspondence...

Tohoku mathematical journal, 2015, 67, pp.1-17. ⟨10.2748/tmj/1429549576⟩. ⟨hal-03233846⟩