Publicaciones

• 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⟩

• 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⟩

• 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...

• 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⟩