Publications

• Poster de conférence

Nodal properties of eigenfunctions of a generalized buckling problem on balls

Colette De Coster, Serge Nicaise, Christophe Troestler

Matinée des Chercheurs 2015, Mar 2015, Mons, Belgium. ⟨hal-03164522⟩

• Article dans une revue

Effect of Nitrogen on Properties of Na 2 O-CaO-SrO-ZnO-SiO 2 Glasses

Ahmed Bachar, Cyrille Albert-Mercier, Arnaud Tricoteaux, Jean-Christophe Hornez, Anne Leriche, Claudine Follet-Houttemane, Bertrand Revel, Stuart Hampshire, Mark Towler

Glasses in the Na2O–CaO–SrO–ZnO–SiO2 system have previously been investigated for suitability as a reagent in Al-free glass polyalkenoate cements (GPCs). These materials have many properties that offer potential in orthopedics. However, their applicability has been limited, to date, because of…

Journal of the American Ceramic Society, 2015, 98 (3), pp.748-757. ⟨10.1111/jace.13361⟩. ⟨hal-03039016⟩

• Article dans une revue

The heat equation under conditions on the moments in higher dimensions

Delio Mugnolo, Serge Nicaise

We consider the heat equation on the N-dimensional cube (0, 1)N and impose different classes of integral conditions, instead of usual boundary ones.Well-posedness results for the heat equation under the condition that the moments of order 0 and 1 are conserved had been known so far only in the case…

Mathematical News / Mathematische Nachrichten, 2015, 288 (2-3), pp.295-308. ⟨10.1002/mana.201300298⟩. ⟨hal-03163722⟩

• Pré-publication, Document de travail

SPECTRAL ANALYSIS OF THE SCHRÖDINGER OPERATOR ON BINARY TREE-SHAPED NETWORKS AND APPLICATIONS

Kaïs Ammari, Denis Mercier, Virginie Régnier

In this paper we analyse the spectrum of the dissipative Schrödinger operator on binary tree-shaped net-works. As applications, we study the stability of the Schrödinger system using a Riesz basis as well as the transfer function associated to the system.

2015. ⟨hal-01109134⟩

• 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⟩

• 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⟩

• 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

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⟩