Publications

• 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

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⟩

• 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

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⟩

• 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⟩