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

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⟩

• 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

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⟩

• 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

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⟩