Publicaciones

• 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

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⟩

• 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⟩

• Article dans une revue

Design of C2 algebraic-trigonometric pythagorean hodograph splines with shape parameters

Cindy González, Gudrun Albrecht, Marco Paluszny, Marianela Lentini

In this paper, we construct C2 Algebraic-Trigonometric Pythagorean Hodograph (ATPH) splines by solving a non-linear system of equations in complex variables. We compare these splines, which depend on several shape parameters, with their polynomial PH counterpart as well as with the well-known C2...

Computational & Applied Mathematics, 2016, 37 (2), pp.1472-1495. ⟨10.1007/s40314-016-0404-y⟩. ⟨hal-03164878⟩

• Communication dans un congrès

ARE LOCAL TEACHERS REQUIRED WITHIN MOOCS SESSIONS?

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

INTED 2016, iated, Mar 2016, Valencia, Spain. ⟨hal-02508371⟩

• Article dans une revue

Complete Lagrangian ideal δ(2) submanifolds in the complex projective space : recent advances in the geometry of submanifolds – dedicated to the memory of Franki DILLEN (1963–2013)

Luc Vrancken

In the 1990s B.Y. Chen introduced a sequence of curvature invariants, constructed using appropriate sectional curvatures of the manifold. Each of these invariants is used to obtain an optimal lower bound for the length of the mean curvature vector for an immersion in a real space form. This upper...

• Article dans une revue

PU/PZT composites for vibratory energy harvesting

S. Touhtouh, Mohamed Rguiti, Christian Courtois, F. Belhora, A. Arbaoui, Sophie d'Astorg, A. Rachek, A. Hajjaji

Piezoelectric composites of PU/PZT with 0–3 connectivity were prepared in the film form. Homogeneous dispersion of the ceramic PZT in polyurethane matrix has been obtained and has been verified by SEM analysis. Dielectric properties reveal that under an electrical field of 1000 V the remnant...

Optical and Quantum Electronics, 2016, 48 (4), ⟨10.1007/s11082-016-0518-x⟩. ⟨hal-01769134⟩

• Article dans une revue

A classification of isotropic affine hyperspheres

Marilena Moruz, Luc Vrancken

We study affine hypersurfaces M, which have isotropic difference tensor. Note that, any surface always has isotropic difference tensor. In case that the metric is positive definite, such hypersurfaces have been previously studied in [O. Birembaux and M. Djoric, Isotropic affine spheres, Acta Math....

International Journal of Mathematics, 2016, 27 (9), pp.1650074. ⟨10.1142/S0129167X16500749⟩. ⟨hal-03173175⟩

• Article dans une revue

Derivatives in noncommutative calculus and deformation property of quantum algebras

Dimitri Gurevich, Pavel Saponov

The aim of the paper is twofold. First, we introduce analogs of (partial) derivatives on certain noncommutative algebras, including some enveloping algebras and their “braided counterparts” — the so-called modified Reflection Equation algebras. With the use of the mentioned derivatives we construct...

Journal of Noncommutative Geometry, 2016, 10 (4), pp.1215-1241. ⟨10.4171/JNCG/258⟩. ⟨hal-03165320⟩