Publications

• 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.&nbsp; 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⟩

• 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

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

A mixed DG method for folded Naghdi's shell in Cartesian coordinates, Une méthode de Galerkin discontinue mixte pour une coque de Naghdi pliée en coordonnées cartésiennes

Serge Nicaise, Ismail Merabet

In this Note, a mixed formulation is proposed to solve Naghdi's equations for a thin linearly elastic shell. The unknowns of the problem are the displacement of the points of the middle surface, the rotation field of the normal vector to the middle surface of the shell and a Lagrange…, Dans cette Note, nous proposons une méthode mixte pour résoudre les équations du modèle de Naghdi de coques linéairement élastiques. Les inconnues du problème sont le déplacement des points de la surface moyenne, le vecteur de rotation de la normale à la surface moyenne et un multiplicateur de…

Comptes rendus hebdomadaires des séances de l’Académie des sciences. Série A, Sciences mathématiques, 2015, 353 (7), pp.653-658. ⟨10.1016/j.crma.2015.04.016⟩. ⟨hal-03158912⟩

• 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

Dispersive effects and high frequency behaviour for the Schr¨odinger equation in star-shaped networks

Felix Ali Mehmeti, Kaïs Ammari, Serge Nicaise

We prove the time decay estimates L1(R)→L∞(R), where R is an infinite star-shaped network, for the Schrödinger group eit(−d2dx2+V) for real-valued potentials V satisfying some regularity and decay assumptions. Further we show that the solution for initial conditions with a lower cutoff frequency…

Portugaliae Mathematica, 2015, 72 (4), pp.309-355. ⟨10.4171/PM/1970⟩. ⟨hal-03138323⟩

• Article dans une revue

Approximation of the two-dimensional Dirichlet problem by continuous and discrete problems on one-dimensional networks

Maryse Bourlard-Jospin, Serge Nicaise, Juliette Venel

We show that the solution of the two-dimensional Dirichlet problem set in a plane domain is the limit of the solutions of similar problems set on a sequence of one-dimensional networks as their size goes to zero. Roughly speaking this means that a membrane can be seen as the limit of rackets made…

Confluentes Mathematici, 2015, 7 (1), pp.13-33. ⟨10.5802/cml.16⟩. ⟨hal-03135676⟩

• Article dans une revue

Microwave sintering of Ge-doped In2O3 thermoelectric ceramics prepared by slip casting process

E. Combe, E. Guilmeau, Etienne Savary, S. Marinel, R. Cloots, R. Funahashi, F. Boschini

Ge doped In2O3 bulks were prepared by dry uniaxial compaction or slip casting shaping methods followed by a conventional or microwave sintering. Density of slip casted Ge doped In2O3 samples after conventional sintering reaches bulk density close to the theoretical one thanks to an optimized…

Journal of the European Ceramic Society, 2015, 35 (1), pp.145-151. ⟨10.1016/j.jeurceramsoc.2014.08.012⟩. ⟨hal-02184171⟩

• Communication dans un congrès

Thick mesh reconstruction from scattered cloud

Thierry Bay, R. Raffin

International Conference on Computer Graphics, Visualization, Computer Vision and Image Processing, 2015, Las Palmas de Gran Canarias, Spain. pp.187-196. ⟨hal-03131117⟩