Publications

• Article dans une revue

Analysis of eddy current formulations in two-dimensional domains with cracks

Stéphanie Lohrengel, Serge Nicaise

In this paper, the eddy current problem in a two-dimensional conductor containing a crack is studied. The decomposition of the electric field into a piecewise regular part and a singular part deriving from scalar potentials localized at the crack tip and at the crack mouth is proved. At the crack…

ESAIM: Mathematical Modelling and Numerical Analysis, 2015, 49 (1), pp.141-170. ⟨10.1051/m2an/2014027⟩. ⟨hal-01888364⟩

• 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

Controlling the rate of hydration of calcium sulfoaluminate cements the case of lithium and borate ions

M. Dhoury, C. Cau Dit Coumes, J.-B. Champenois, Cyrille Albert-Mercier, D. Damidot

ICCC 2015 - 14th International Congress on the Chemistry of Cement, Oct 2015, Beijing, China. ⟨cea-02509160⟩

• 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⟩

• 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

Nodal properties of eigenfunctions of a generalized buckling problem on balls

Colette de Coster, Serge Nicaise, Christophe Troestler

In this paper we are interested in the following fourth order eigenvalue problem coming from the buckling of thin films on liquid substrates: Δ^2 u + κ 2 u = −λΔu in B 1 , u = ∂ r u = 0 on ∂ B 1 , where B 1 is the unit ball in R N. When κ > 0 is small, we show that the first eigenvalue is simple…

Positivity, 2015, 19 (4), pp.843-875. ⟨10.1007/s11117-015-0331-y⟩. ⟨hal-01956617⟩

• 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

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⟩

• 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⟩

• Ouvrages

Stabilization of elastic systems by collocated feedback

Kaïs Ammari, Serge Nicaise

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