Publications

• Article dans une revue

The Dirichlet problem for a prescribed anisotropic mean curvature equation

Chiara Corsato, Colette De Coster, Pierpaolo Omari

We discuss existence, uniqueness, regularity and boundary behaviour of solutions of the Dirichlet problem for the prescribed anisotropic mean curvature equation −div(∇u/1+|∇u|2)=−au+b/1+|∇u|2, where a,b>0 are given parameters and Ω is a bounded Lipschitz domain in RN. This equation appears in…

Journal of Differential Equations, 2016, 260 (5), pp.4572-4618. ⟨10.1016/j.jde.2015.11.024⟩. ⟨hal-03135815⟩

• Article dans une revue

Development of flexible SAW sensors for non-destructive testing of structure

Rafatou Takpara, Marc Duquennoy, Christian Courtois, Maurice Gonon, Mohammadi Ouaftouh, Gregory Martic, Mohamed Rguiti, Frédéric Jenot, Laurent Seronveaux, Christine Pelegris

In order to accurately examine structures surfaces, it is interesting to use surface SAW (Surface Acoustic Wave). Such waves are well suited for example to detect early emerging cracks or to test the quality of a coating. In addition, when coatings are thin or when emergent cracks are precocious,…

AIP Conference Proceedings, 2016, 1706 (1), ⟨10.1063/1.4940521⟩. ⟨hal-03119947⟩

• Article dans une revue

Curvature properties of some class of warped product manifolds

Ryszard Deszcz, Małgorzata Głogowska, Jan Jełowicki, Georges Zafindratafa

We prove that warped product manifolds with p-dimensional base, p=1,2, satisfy some pseudosymmetry type curvature conditions. These conditions are formed from the metric tensor g, the Riemann–Christoffel curvature tensor R, the Ricci tensor S and the Weyl conformal curvature C of the considered…

International Journal of Geometric Methods in Modern Physics, 2016, 13 (01), pp.1550135. ⟨10.1142/S0219887815501352⟩. ⟨hal-03148376⟩

• 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

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

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

Remarks on stabilization of second-order evolution equations by unbounded dynamic feedbacks

Zainab Abbas, Kaïs Ammari, Denis Mercier

In this paper, we consider second-order evolution equations with unbounded dynamic feedbacks. Under a regularity assumption, we show that observability properties for the undamped problem imply decay estimates for the damped problem. We consider both uniform and non-uniform decay properties.

Journal of Evolution Equations, 2016, 16 (1), pp.95-130. ⟨10.1007/s00028-015-0294-2⟩. ⟨hal-03134782⟩

• Article dans une revue

Coupled Electro-Thermo-Mechanical Finite Element Modeling of the Spark Plasma Sintering Technique

Maxime Schwertz, Aurelien Katz, Emmanuel Sorrel, Sébastien Lemonnier, Elodie Barraud, Adèle Carrado, Sophie d'Astorg, Anne Leriche, Michel Nardin, Marie-France Vallat, Francis Kosior

This paper deals with the development of a novel and predictive finite element method (FEM) model coupling electrical, thermal, and mechanical time-dependent contributions for simulating the behavior of a powdery material submitted to a spark plasma sintering (SPS) treatment by using COMSOL…

Metallurgical and Materials Transactions B, 2016, 47 (2), pp.1263-1273. ⟨10.1007/s11663-015-0514-8⟩. ⟨hal-01344181⟩

• Article dans une revue

An explicit seven-term exact sequence for the cohomology of a Lie algebra extension

Manfred Hartl, S. Wauters, K. Dekimpe

We construct a seven-term exact sequence involving low degree cohomology spaces of a Lie algebra g, an ideal h of g, and the quotient g/h with coefficients in a g-module. The existence of such a sequence follows from the Hochschild-Serre spectral sequence associated to the Lie algebra extension.…

Communications in Algebra, 2016, 44 (3), pp.1321-1349. ⟨10.1080/00927872.2015.1027351⟩. ⟨hal-03235017⟩

• Chapitre d'ouvrage

Trois expériences d'apprentissage par les problèmes

Jean-Paul Becar, Jean-Charles Canonne, Fabrice Robert, Eric Cartignies, Aurel Fratu, Mariana Fratu, Désiré Dauphin Rasolomampionona

Le projet : les pratiques en IUT, Contribution au chapitre IV- Articuler l’approche projet et le pilotage institutionnel, L’Harmattan, pp.106-110, 2016, 978-2-343-10803-2. ⟨hal-02508572⟩