Publicaciones

• Article dans une revue

Stabilization of second-order evolution equations with time delay

Serge Nicaise, Cristina Pignotti

We consider second-order evolution equations in an abstract setting with damping and time delay and give sufficient conditions ensuring exponential stability. Our abstract framework is then applied to the wave equation, the elasticity system and the Petrovsky system.

Mathematics of Control, Signals, and Systems, 2014, 26 (4), pp.563-588. ⟨10.1007/s00498-014-0130-1⟩. ⟨hal-03159120⟩

• Article dans une revue

Exponential stability of abstract evolution equations with time delay

Serge Nicaise, Cristina Pignotti

We consider abstract semilinear evolution equations with a time-delay feedback. We show that, if the C (0)-semigroup describing the linear part of the model is exponentially stable, then the whole system retains this good property when a suitable smallness condition on the time-delay feedback is...

Journal of Evolution Equations, 2014, 15 (1), pp.107-129. ⟨10.1007/s00028-014-0251-5⟩. ⟨hal-03166075⟩

• 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⟩

• Chapitre d'ouvrage

Introduction à la théorie des sous- et sur-solutions

Colette De Coster, Jalel Tabka

“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

Space-time residual-based a posteriori estimators for the A/Phi magneto dynamic formulation of the Maxwell system

Emmanuel Creusé, Serge Nicaise, Roberta Tittarelli

In this paper, an a posteriori residual error estimator is proposed for the A/Phi magnetodynamic Maxwell system given in its potential and space/time formulation and solved by a Finite Element method. The reliability as well as the e ciency of the estimator are established for several norms. Then,...

Computational Methods in Applied Mathematics, 2014, 14 (4), pp.429-460. ⟨10.1515/cmam-2014-0015⟩. ⟨hal-00921116⟩

• Article dans une revue

Well-posedness and spectral properties of heat and wave equations with non-local conditions

Delio Mugnolo, Serge Nicaise

We consider the one-dimensional heat and wave equations but – instead of boundary conditions – we impose on the solution certain non-local, integral constraints. An appropriate Hilbert setting leads to an integration-by-parts formula in Sobolev spaces of negative order and eventually allows us to...

Journal of Differential Equations, 2014, 256 (7), pp.2115-2151. ⟨10.1016/j.jde.2013.12.016⟩. ⟨hal-03163703⟩

• Communication dans un congrès

EXAMPLE BASED LEARNING FOR VIRTUAL PROTOTYPING ENGINEERING

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

The paper deals with a method used many years for example based learning for the virtual prototyping. The authors collaborate since ten years in Erasmus background. It means four french students a year in the bachelor of technology course got a three months placement in Romania supervised by the...

EDULEARN14, iated, Jul 2014, BARCELONE, Spain. ⟨hal-02516035⟩

• Article dans une revue

Source identification for the wave equation on graphs, Identification de sources pour l'équation des ondes sur des graphes

Sergei Avdonin, Serge Nicaise

We consider source identification problems for the wave equation on an interval and on trees. The main advantage of our approach is its locality. Our algorithm reduces essentially to the resolution of a linear integral Volterra equation of the second kind and is new even for an interval., Nous considérons un problème d'identification de sources pour l'équation des ondes sur un intervalle ou sur des arbres. L'avantage principal de notre approche est sa localité. Notre algorithme se réduit essentiellement à la résolution d'une équation intégrale de Volterra du...

Comptes Rendus de l'Académie des Sciences - Series III - Sciences de la Vie, 2014, 352 (11), pp.907-912. ⟨10.1016/j.crma.2014.09.008⟩. ⟨hal-03149902⟩