Publications

• Article dans une revue

A blow-up result in a nonlinear abstract evolution system with delay

Mohammad Kafini, Salim Messaoudi, Serge Nicaise

In this paper we consider a second-order abstract evolution system with delay. We show that, under suitable conditions on the initial data and the involved functionals, the energy of solutions blows up in finite-time. We also give some concrete examples to illustrate our main result.

Nonlinear Differential Equations and Applications, 2016, 23 (2), p. 1-14. ⟨10.1007/s00030-016-0371-4⟩. ⟨hal-03163602⟩

• Article dans une revue

Existence and stability results for thermoelastic dipolar bodies with double porosity

M. Marin, Serge Nicaise

This paper is concerned with the theory of thermoelastic dipolar bodies which have a double porosity structure. In contrast with previous papers dedicated to classical elastic bodies, in our context the double porosity structure of the body is influenced by the displacement field, which is…

Continuum Mechanics and Thermodynamics, 2016, 28 (6), p. 1645- 1657. ⟨10.1007/s00161-016-0503-4⟩. ⟨hal-03163613⟩

• Article dans une revue

Quantum geometry and quantization on U(u(2)) background. Noncommutative Dirac monopole

Dimitri Gurevich, Pavel Saponov

In our previous publications we introduced differential calculus on the enveloping algebras U (gl(m)) similar to the usual calculus on the commutative algebra Sym(gl(m)). The main ingredients of our calculus are quantum partial derivatives which turn into the usual partial derivatives in the…

Journal of Geometry and Physics, 2016, 106, pp.87-97. ⟨10.1016/j.geomphys.2016.03.007⟩. ⟨hal-03172942⟩

• Article dans une revue

Fracture toughness of glasses and hydroxyapatite: a comparative study of 7 methods by using Vickers indenter

Isabel Hervas, Alex Montagne, Adrien van Gorp, M. Bentoumi, Anthony Thuault, Alain Iost

Numerous methods have been proposed to estimate the indentation fracture toughness Kic for brittle materials. These methods generally uses formulæ established from empirical correlations between critical applied force, or average crack length, and classical fracture mechanics tests. This study…

Ceramics International, 2016, 42 (11), pp.12740-12750. ⟨10.1016/j.ceramint.2016.05.030⟩. ⟨hal-01337280⟩

• Article dans une revue

Existence of a variational solution for the stationary Boussinesq equations with thermocapillary effect and nonhomogenous boundary conditions

Bernardin Ahounou, Luc Paquet

In this work, we prove the existence of at least one variational solution (u, θ, p) of the stationary Boussinesq equations with thermocapillary effect on the surface and nonhomogenous boundary conditions for the velocity and the temperature. We assume that the domain is plane, bounded and polygonal…

Afrika Matematika, 2016, 27 (5-6), pp.909-921. ⟨10.1007/s13370-015-0386-8⟩. ⟨hal-03138305⟩

• Article dans une revue

Regularity of solutions of elliptic or parabolic problems with Dirac measures as data

S. Ariche, Colette De Coster, Serge Nicaise

In this paper we study the Laplace and heat equations with Dirac right-hand side. We prove some regularity results in a scale of weighted Sobolev spaces, the weight being the distance to the support of the right-hand side. Model situations in dimension three are treated by using Fourier, Laplace or…

S~eMA Journal , 2016, 73, pp.379-426. ⟨10.1007/s40324-016-0077-x⟩. ⟨hal-03149885⟩

• Article dans une revue

Some properties of range restricted GMRES methods

Mohammed Bellalij, Lothar Reichel, Hassane Sadok

The GMRES method is one of the most popular iterative schemes for the solution of large linear systems of equations with a square nonsingular matrix. GMRES-type methods also have been applied to the solution of linear discrete ill-posed problems. Computational experience indicates that for the…

Journal of Computational and Applied Mathematics, 2015, 290, pp.310-318. ⟨10.1016/j.cam.2015.05.008⟩. ⟨hal-03135561⟩

• Thèse

Stability analysis of switched systems on non-uniform time domains, Analyse de stabilité des systèmes à commutations sur un domaine de temps non-uniforme

Fatima Zohra Taousser

This thesis deals with the stability analysis of switched systems that evolve on non uniform time domain by introducing the time scale theory. We are interested mainly in dynamical linear switched systems defined on particular time scale T = P{tσk ,tk+1} = ∪∞k=0[tσk, tk+1]. The studied system…, Cette thèse s’intéresse à l’étude de la stabilité des systèmes à commutation qui évoluent sur un domaine de temps non uniforme en introduisant la théorie des échelles de temps. On s’intéresse essentiellement aux systèmes dynamiques linéaires à commutation définis sur une échelle de temps…

Commutative Algebra [math.AC]. Université de Valenciennes et du Hainaut-Cambresis, 2015. English. ⟨NNT : 2015VALE0038⟩. ⟨tel-01397780⟩

• Thèse

Développement de capteurs piézoélectriques interdigités flexibles pour la caractérisation ultrasonore des revêtements, Development of flexibles interdigitated piezoelectric sensors for ultrasonic charaterization of coatings

Rafatou Takpara

Ce travail porte sur la réalisation de capteurs interdigités (IDT pour InterDigital Transducer) sur des supports piézoélectriques. L’enjeu est double puisqu’il s’agit premièrement de disposer de capteurs efficaces pour générer des ondes de surface acoustiques (SAW pour Surface Acoustic Wave) afin…, This work deals with the realization of interdigital sensors (IDT for InterDigital Transducer) on piezoelectric substrates. There is a dual challenge since firstly, the aim is to have efficient sensors to generate surface acoustic waves (SAW) in order to characterize the quality of the coatings and…

Mécanique des matériaux [physics.class-ph]. Université de Valenciennes et du Hainaut-Cambresis, 2015. Français. ⟨NNT : 2015VALE0041⟩. ⟨tel-03461069⟩

• Communication dans un congrès

Comparison of conventional and microwaves sintering of bioceramics

Anne Leriche, Etienne Savary, Anthony Thuault, Jean-Christophe Hornez, Sylvain Marinel, Michel Descamps

Proceedings of the 38th Int'l Conf & Expo on Advanced Ceramics & Composites, Jan 2014, Floride, United States. ⟨hal-03123065⟩