Publications

• Article dans une revue

A priori error estimates for finite element methods for H(2;1)-elliptic equations

Thomas Apel, T. Flaig, Serge Nicaise, Thomas G Flaig

The convergence of finite element methods for linear elliptic boundary value problems of second and forth order is well understood. In this article, we introduce finite element approximations of some linear semi-elliptic boundary value problem of mixed order on a two-dimensional rectangular domain…

Numerical Functional Analysis and Optimization, 2014, 35 (2), pp.153-176. ⟨10.1080/01630563.2013.811600⟩. ⟨hal-03138800⟩

• Chapitre d'ouvrage

Exponential stability of the wave equation with memory and anti–damping/time delay

Fatiha Alabau-Boussouira, Serge Nicaise, Cristina Pignotti

Favini, Angelo; Fragnelli, Genni; Mininni, Rosa Maria. New Prospects in Direct, Inverse and Control Problems for Evolution Equations, Springer Verlag, pp.1-22, 2014, Springer INdAM Series. ⟨hal-03227639⟩

• Chapitre d'ouvrage

Problèmes d’évolution sur des multi-structures

Abderrahman Maghnouji

Introduction à quelques problèmes d’EDP : notes du groupe de travail de l’équipe EDP du Laboratoire de Mathématiques et leurs Applications de Valenciennes, Ed. Universitaires Européennes, pp.43-84, 2014, 9786131506833. ⟨hal-03142458⟩

• Article dans une revue

Cohomological equations and invariant distributions on a compact Lie group

Aziz El Kacimi Alaoui, Hadda Hmili

This paper deals with two analytic questions on a connected compact Lie group G. i) Let a ε G and denote by γ the diffeomorphism of G given by γ (x) = ax (left translation by a). We give necessary and sufficient conditions for the existence of solutions of the cohomological equation f - fo γ = g on…

Hokkaido Mathematical Journal, 2014, 43 (2), pp.151-173. ⟨10.14492/hokmj/1404229920⟩. ⟨hal-03164536⟩

• Article dans une revue

Weakly locally thermal stabilization of Bresse systems

Nadine Najdi, Ali Wehbe

Fatori and Rivera [7] studied the stability of the Bresse system with one distributed temperature dissipation law operating on the angle displacement equation. They proved that, in general, the energy of the system does not decay exponentially and they established the rate of t-1/3. In this article…

Electronic Journal of Differential Equations, 2014, 2014 (182), pp.1-19. ⟨hal-03163821⟩

• Article dans une revue

Algebraic-trigonometric Pythagorean-hodograph curves and their use for Hermite interpolation

Lucia Romani, Laura Saini, Gudrun Albrecht

In this article we define a new class of Pythagorean-Hodograph curves built-upon a six-dimensional mixed algebraic-trigonometric space, we show their fundamental properties and compare them with their well-known quintic polynomial counterpart. A complex representation for these curves is introduced…

Advances in Computational Mathematics, 2014, 40 (5-6), pp.977-1010. ⟨10.1007/s10444-013-9338-8⟩. ⟨hal-03151851⟩

• Ouvrages

Foliations

Masayuki Asaoka, Aziz El Kacimi Alaoui, Steven Hurder

Springer, pp.IX-198, 2014, 978-3-0348-0870-5. ⟨hal-03234747⟩

• Communication dans un congrès

Développement de capteurs interdigités souples pour le contrôle de structures

Rafatou Takpara, Dame Fall, Marc Duquennoy, Christian Courtois, Mohamed Rguiti, Laurent Seronveaux, D. Monnoye, Gregory Martic, Véronique Lardot, M. Gonon, N. Maury, Christine Pelegris, M. Guessasma, N. Ferguen, E. Bellenger

12ème Congrès Français d'Acoustique, CFA 2014, 2014, Poitiers, France. Session APUS2-2 : Contrôles et essais non-destructifs II, papier CFA2014/327, 536-539. ⟨hal-00978411⟩

• Article dans une revue

Exponential stability of a network of serially connected Euler–Bernoulli beams

Denis Mercier, Virginie Régnier

The aim is to prove the exponential stability of a system modelling the vibrations of a network of N Euler–Bernoulli beams serially connected. Using a result given by K. Ammari and M. Tucsnak, the problem is reduced to the estimate of a transfer function and the obtention of an observability…

International Journal of Control, 2014, 87 (6), pp.1266-1281. ⟨10.1080/00207179.2013.874597⟩. ⟨hal-03163679⟩

• Article dans une revue

Decomposable affine hypersurfaces

Miroslava Antić, Franki Dillen, Kristof Schoels, Luc Vrancken

In affine differential geometry, Calabi discovered how to associate a new hyperbolic affine hypersphere with two hyperbolic affine hyperspheres. This was later generalized by Dillen and Vrancken in order to obtain a large class of examples of equiaffine homogeneous affine hypersurfaces. Note that…

Kyushu Journal of Mathematics, 2014, 68 (1), pp.93-103. ⟨hal-03228108⟩