Publications

• Chapitre d'ouvrage

A Note on the Asymptotic Stability of Wave-Type Equations with Switching Time-Delay

Serge Nicaise, Cristina Pignotti

We consider second-order evolution equations with intermittently delayed/not-delayed damping. We give sufficient conditions for asymptotic and exponential stability, completing our previous results from Nicaise and Pignotti [Adv. Diff. Eq., 17: 879–902, 2012; J. Dyn. Diff. Eq., 26: 781–803, 2014].…

Kais Ammari; Stephane Gerbi. Evolution Equations: Long Time Behavior and Control, 1, Cambridge University Press, pp.137-150, 2017, 9781108412308. ⟨10.1017/9781108304023.007⟩. ⟨hal-03142598⟩

• Article dans une revue

Optimal control of some quasilinear Maxwell equations of parabolic type

Serge Nicaise, Fredi Tröltzsch

An optimal control problem is studied for a quasilinear Maxwell equation of nondegenerate parabolic type. Well-posedness of the quasilinear state equation, existence of an optimal control, and weak Gateaux-differentiability of the control-to-state mapping are proved. Based on these results, first-…

Discrete and Continuous Dynamical Systems - Series S, 2017, 10 (6), pp.1375-1391. ⟨10.3934/dcdss.2017073⟩. ⟨hal-03166140⟩

• Article dans une revue

Control of the γ-alumina to α-alumina phase transformation for an optimized alumina densification

Samir Lamouri, M. Hamidouche, Noureddine Bouaouadja, H. Belhouchet, Vincent Garnier, Gilbert Fantozzi, Jean-François Trelcat

In this work, we studied the aptitude to sintering green bodies using γ-Al2O3 transition alumina as raw powder. We focused on the influence of the heating rate on densification and microstructural evolution. Phase transformations from transition alumina γ → δ → θ → α-Al2O3 were studied by in situ X…

Boletín de la Sociedad Española de Cerámica y Vidrio, 2017, 56 (2), pp.47-54. ⟨10.1016/j.bsecv.2016.10.001⟩. ⟨hal-01804220⟩

• Pré-publication, Document de travail

Cohomologie de Dolbeault feuilletée du feuilletage complexe affine de Reeb

Aziz El Kacimi Alaoui, Rochdi Ben Charrada

2017. ⟨hal-03165346⟩

• Article dans une revue

Convergence and stability analyses of hierarchic models of dissipative second order evolution equations

Serge Nicaise

We perform some hierarchical analyses of dissipative systems. For that purpose, we first propose a general abstract setting, prove a convergence result and discuss some stability properties. This abstract setting is then illustrated by significant examples of damped (acoustic) wave equations for…

Collectanea Mathematica, 2017, 68 (3), pp.433-462. ⟨10.1007/s13348-017-0192-8⟩. ⟨hal-03152027⟩

• Article dans une revue

Surfaces in a pseudo-sphere with harmonic or 1-type pseudo-spherical Gauss map.

B. Bektas, J. van Der Veken, Luc Vrancken

We give a complete classification of Riemannian and Lorentzian surfaces of arbitrary codimension in a pseudo-sphere whose pseudo-spherical Gauss maps are of 1-type or, in particular, harmonic. In some cases a concrete global classification is obtained, while in other cases the solutions are…

Ann. Global Anal. Geom., 2017, 52, pp.45-55. ⟨10.1007/s10455-017-9548-2⟩. ⟨hal-03233877⟩

• Pré-publication, Document de travail

Time-asymptotic propagation of approximate solutions of Schrödinger equations with both potential and initial condition in Fourier-frequency bands

Florent Dewez

In this paper, we consider the Schrödinger equation in one space-dimension with potential. We start by proving that this equation is well-posed in H1(R) if the potential belongs to W1,∞(R), and we provide a representation of the solution as a series, called Dyson-Phillips series, by using semigroup…

2017. ⟨hal-03142532⟩

• Article dans une revue

Regularity and a priori error analysis of a Ventcel problem in polyhedral domains

Serge Nicaise, Hengguang Li, Anna L. Mazzucato

We consider the regularity of a mixed boundary value problem for the Laplace operator on a polyhedral domain, where Ventcel boundary conditions are imposed on one face of the polyhedron and Dirichlet boundary conditions are imposed on the complement of that face in the boundary. We establish…

Mathematical Methods in the Applied Sciences, 2017, 40 (5), ⟨10.1002/mma.4083⟩. ⟨hal-01332720v3⟩

• Poster de conférence

Morphology and phase control of titanium dioxide via hydrothermal synthesis with respect to the composition of the precursor solution

Mélanie Wynn, Philippe Champagne, Samuel Bernard, Philippe Miele, Anne Leriche

Annual Meeting du BCerS, Dec 2016, Mol, Belgium. ⟨hal-02881256⟩

• Thèse

Theoretical and numerical study of the stability of some distributed systems with dynamic boundary control, Étude théorique et numérique de la stabilité de certains systèmes distribués avec contrôle frontière de type dynamique

Mohamad Ali Sammoury

This thesis is devoted to the study of the stabilization of some distributed systems with dynamic boundary control. First, we consider the stabilization of the Rayleigh beam equation with only one dynamic boundary control moment or force. We show that the system is not uniformly (exponentially)…, Cette thèse est consacrée à l’étude de la stabilisation de certains systèmes distribués avec contrôle frontière de type dynamique. Nous considérons, d’abord, la stabilisation de l’équation de la poutre de Rayleigh avec un seul contrôle frontière dynamique moment ou force. Nous montrons que le…

General Mathematics [math.GM]. Université de Valenciennes et du Hainaut-Cambresis; Université Libanaise, 2016. English. ⟨NNT : 2016VALE0032⟩. ⟨tel-01523446⟩