“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.1-41, 2014, 9786131506833. ⟨hal-03142454⟩

Article dans une revue

Polynomial stabilization of some dissipative hyperbolic systems

Kaïs Ammari, E. Feireisl, Serge Nicaise

We study the problem of stabilization for the acoustic system with a spatially distributed damping. Imposing various hypotheses on the structural properties of the damping term, we identify either exponential or polynomial decay of solutions with growing time. Exponential decay rate is shown by...

Discrete and Continuous Dynamical Systems - Series A, 2014, 34 (11), pp.4371-4388. ⟨10.3934/dcds.2014.34.4371⟩. ⟨hal-03138443⟩

Article dans une revue

Fully coupled forward backward stochastic differential equations driven by Lévy processes and application to differential games

Fouzia Baghery, Nabil Khelfallah, Brahim Mezerdi, Isabelle Massa-Turpin

We consider a fully coupled forward backward stochastic differential equation driven by a Lévy processes having moments of all orders and an independent Brownian motion. Under some monotonicity assumptions, we prove the existence and uniqueness of solutions on an arbitrarily fixed large time...

Random Operators and Stochastic Equations, 2014, 22 (3), pp.151-161. ⟨10.1515/rose-2014-0016⟩. ⟨hal-03359276⟩

Article dans une revue

Minimal contact CR submanifolds in S2 n+1 satisfying the δ(2)-Chen equality

Marian Ioan Munteanu, Luc Vrancken

In his book on Pseudo-Riemannian geometry, δ-invariants and applications, B.Y. Chen introduced a sequence of curvature invariants. Each of these invariants is used to obtain a lower bound for the length of the mean curvature vector for an immersion in a real space form. A submanifold is called an...

Journal of Geometry and Physics, 2014, 75, pp.92-97. ⟨10.1016/j.geomphys.2013.09.003⟩. ⟨hal-03184628⟩

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

On Steinitz classes of nonabelian Galois extensions and p-ary cyclic Hamming codes

Maya Farhat, Bouchaïb Sodaïgui

Let k be a number field and Cl(k) its class group. Let Γ be a finite group. Let Rt(k,Γ) be the subset of Cl(k) consisting of those classes which are realizable as Steinitz classes of tamely ramified Galois extensions of k with Galois group isomorphic to Γ. Let p be a prime number. In the present...

Journal of Number Theory, 2014, 134, pp.93-108. ⟨10.1016/j.jnt.2013.07.003⟩. ⟨hal-03149645⟩