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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

Source identification for the wave equation on graphs

Sergei Avdonin, Serge Nicaise

We consider source identification problems for the wave equation on graphs. The main advantage of our approach is its locality. Our algorithm reduces essentially to the resolution of linear integral Volterra equations of the second kind and is new even for an interval.

Inverse Problems, 2015, 31 (9), ⟨10.1088/0266-5611/31/9/095007⟩. ⟨hal-03149914⟩

Communication dans un congrès

ACTIVE LEARNING BY VIRTUAL PROTOTYPING TECHNIQUE

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

In this paper, the development of virtual prototypes models and their testing for active learning support is described. The personalized virtual applications selected by a tutor are used directly for performing active learning at the university's separated workplace. When using the virtual...

ICERI2015 Conference, IATED, Nov 2015, SEVILLE, Spain. ⟨hal-02513142⟩

Article dans une revue

Space-time residual-based a posteriori estimator for the A-phi formulation in eddy current problems

Roberta Tittarelli, Yvonnick Le Menach, Emmanuel Creusé, Serge Nicaise, Francis Piriou, Olivier Moreau, Olivier Boiteau

In this paper, an a posteriori residual error estimator is presented for the 3-D eddy current problem modeled by the space-time A - φ potential formulation. It is solved by the finite element method in space and the backward Euler scheme in time. Once the reliability as well as the efficiency of...

IEEE Transactions on Magnetics, 2015, 51 (3), ⟨10.1109/TMAG.2014.2354357⟩. ⟨hal-01390250⟩

Article dans une revue

Generalizations of Poisson Structures Related to Rational Gaudin Model

Dimitri Gurevich, Vladimir Roubtsov, Pavel Saponov, Zoran Škoda

<p>The Poisson structure arising in the Hamiltonian approach to the rational Gaudin model looks very similar to the so-called modified Reflection Equation Algebra.  Motivated by this analogy, we realize a braiding of the mentioned Poisson structure, i.e. we introduce a ”braided...

Annales Henri Poincaré, 2015, 16 (7), pp.1689-1707. ⟨10.1007/s00023-014-0350-4⟩. ⟨hal-01392198⟩

Communication dans un congrès

Points massiques, hyperbole et hyperboloïde à une nappe

Jean-Paul Becar, Lionel Garnier, Lucie Druoton

Les courbes de Bézier rationnelles quadratiques jouent un rôle fondamental pour la modélisation d'arcs de coniques propre. Cependant, lorsque les deux points extrémaux de l'arc ne sont pas sur la même branche d'une hyperbole, l'utilisation des courbes de Bézier classiques est...

Journées du Groupe de Travail en Modélisation Géométrique 2015,, 2015, POITIERS, France. ⟨hal-02513119⟩

Article dans une revue

Existence results for the A & φ magnetodynamic formulation of the Maxwell system

Serge Nicaise

The (Formula presented.) magnetodynamic Maxwell system given in its potential and space/time formulation is a popular model considered in the engineering community. We establish existence of strong solutions with the help of the theory of Showalter on degenerated parabolic problems; using energy...

Applicable Analysis, 2015, 94 (5), pp.863-878. ⟨10.1080/00036811.2014.905678⟩. ⟨hal-03151968⟩

Article dans une revue

Optimal control of magnetic fields in flow measurement

Serge Nicaise, Simon Stingelin, Fredi Tröltzsch

Optimal control problems are considered for transient magnetization processes arising from electromagnetic flow measurement. The magnetic fields are generated by an induction coil and are defined in 3D spatial domains that include electrically conducting and nonconducting regions. Taking the...

Discrete and Continuous Dynamical Systems - Series S, 2015, 8 (3), pp.579-605. ⟨10.3934/dcdss.2015.8.579⟩. ⟨hal-03142630⟩

Article dans une revue

Sweeping process by prox-regular sets in Riemannian Hilbert manifolds

Frédéric Bernicot, Juliette Venel

In this paper, we deal with sweeping processes on (possibly infinite-dimensional) Riemannian Hilbert manifolds. We extend the useful notions (proximal normal cone, prox-regularity) already defined in the setting of a Hilbert space to the framework of such manifolds. Especially we introduce the...

Journal of Differential Equations, 2015, 259 (8), pp.4086-4121. ⟨10.1016/j.jde.2015.05.011⟩. ⟨hal-01110480⟩

Article dans une revue

XRD, Raman and electrical studies on the (1−x)(Na0.5Bi0.5)TiO3−xBaTiO3 lead free ceramics

Hamza Lidjici, Brahim Lagoun, Mokhtar Berrahal, Mohamed Rguiti, Med Amine Hentatti, Hamadi Khemakhem

Lead-free piezoceramics (1−x)Bi0.5Na0.5TiO3–xBaTiO3 (x = 0.00, 0.03, 0.05, 0.065, 0.07, 0.08 and 0.10) have been prepared by the conventional solid reaction method and their structure and electrical properties were systematically investigated. X-ray diffraction analysis indicates that a solid...

Journal of Alloys and Compounds, 2015, 618, pp.643-648. ⟨10.1016/j.jallcom.2014.08.161⟩. ⟨hal-04280963⟩