Publications

• Article dans une revue

Noncommutative geometry and dynamical models on U(u(2)) background

Dimitri Gurevich, Pavel Saponov

In our previous publications we have introduced a differential calculus on the algebra U(gl(m)) based on a new form of the Leibniz rule which differs from that usually employed in Noncommutative Geometry. This differential calculus includes partial derivatives in generators of the algebra U(gl(m))…

Journal of Generalized Lie Theory and Applications, 2015, 09 (01), ⟨10.4172/1736-4337.1000215⟩. ⟨hal-03164898⟩

• Communication dans un congrès

Points massiques, espace des sphères et « hyperbole »

Lionel Garnier, Lucie Druoton, Jean-Paul Becar

Les courbes de Bézier quadratiques à points pondérés de contrôle jouent un rôle fondamental pour la modéli-sation d'arcs bornés de coniques. L'utilisation de points massiques permet de modéliser aussi bien des arcs de coniques non bornés que des branches d'hyperboles dans le plan…, The use of massic points permits to define a branch of a hyperbola in the Euclidean plane using a Rational Quadratic Bézier Curve. In the space of spheres, a circular cone, a circular cylinder, a torus, a pencil of spheres or a Dupin cyclide is represented by a conic. If the kind of the pencil is…

Journées du Groupe de Travail en Modélisation Géométrique 2015, 2015, POITIERS, France. ⟨hal-02513124⟩

• Article dans une revue

The Multidimensional Wave Equation with Generalized Acoustic Boundary Conditions II: Polynomial Stability

Z. Abbas, Serge Nicaise

We study the wave equation on a domain of ℝd, d ≥ 2, with dynamical boundary control applied on a part of the boundary and a Dirichlet boundary condition on the remaining part. We prove the polynomial stability of our model by two different methods: the resolvent and multiplier methods. Some…

SIAM Journal on Control and Optimization, 2015, 53 (4), pp.2582-2607. ⟨10.1137/140971348⟩. ⟨hal-03134838⟩

• Communication dans un congrès

THREE EXPERIMENTS OF LEARNING BY EXAMPLES

Jean-Paul Becar, Jean-Charles Canonne, Eric Cartignies, Mariana Fratu, Aurel Fratu, Marcin Iwanowski, Witold Czajewski

International Technology, Education and Development Conference 2015, IATED, 2015, MADRID, Spain. ⟨hal-02513164⟩

• Article dans une revue

Investigation of the internal structure of flax fibre cell walls by transmission electron microscopy

Anthony Thuault, Bernadette Domengès, Isabelle Hervas, Moussa Gomina

The development of the use of flax fibre as reinforcement of eco-friendly composite materials requires a good knowledge of its hydrothermal and mechanical behaviours. To this end the fibre internal structure must be finely investigated. Transmission electron microscopy was used to analyse the…

Cellulose, 2015, 22 (6), pp.3521-3530. ⟨10.1007/s10570-015-0744-6⟩. ⟨hal-02184130⟩

• Article dans une revue

Three-Dimensional Minimal CR Submanifolds of the Sphere S 6 (1) Contained in a Hyperplane

Miroslava Antić, Luc Vrancken

It is well known that the sphere S6(1) admits an almost complex structure J, constructed using the Cayley algebra, which is nearly Kähler. Let M be a Riemannian submanifold of a manifold (Formula Presented.) with an almost complex structure J. It is called a CR submanifold in the sense of Bejancu (…

Mediterranean Journal of Mathematics, 2015, 12 (4), pp.1429-1449. ⟨10.1007/s00009-015-0530-6⟩. ⟨hal-03233786⟩

• Article dans une revue

The multidimensional wave equation with generalized acoustic boundary conditions I: Strong stability

Zainab Abbas, Serge Nicaise

We study the wave equation on a domain of ℝd, d ≥ 2, with dynamical boundary control applied on a part of the boundary and a Dirichlet boundary condition on the remaining part. We prove the asymptotic stability and nonuniform stability of the associated semigroup.

SIAM Journal on Control and Optimization, 2015, 53 (4), pp.2558-2581. ⟨10.1137/140971336⟩. ⟨hal-03134826⟩

• Ouvrages

Stabilization of elastic systems by collocated feedback

Kaïs Ammari, Serge Nicaise

Springer Verlag, 2124, 178 p., 2015, Lecture Notes in Mathematics. ⟨hal-03227597⟩

• Communication dans un congrès

A ROBOTICS EXPERIENCE WITH MOOC

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

Since a couple of decades, authors are running towards the vanishing student motivations. They have applied a large amount of teaching tools or methods as the slide rule, overhead projector, programmable calculator, software, internet, moodle and supervised projects. Project based learning is one…

ICERI 2015, Nov 2015, SEVILLE, Spain. ⟨hal-02513151⟩

• Article dans une revue

Stabilization and asymptotic behavior of a generalized telegraph equation

Serge Nicaise

We analyze the stability of different models of the telegraph equation set in a real interval. They correspond to the coupling between a first-order hyperbolic system and a first-order differential equation of parabolic type. We show that some models have an exponential decay rate, while other ones…

Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2015, 66 (6), pp.3221-3247. ⟨10.1007/s00033-015-0568-0⟩. ⟨hal-03151992⟩