Publicaciones

• Article dans une revue

Decomposable affine hypersurfaces

Miroslava Antić, Franki Dillen, Kristof Schoels, Luc Vrancken

In affine differential geometry, Calabi discovered how to associate a new hyperbolic affine hypersphere with two hyperbolic affine hyperspheres. This was later generalized by Dillen and Vrancken in order to obtain a large class of examples of equiaffine homogeneous affine hypersurfaces. Note that...

Kyushu Journal of Mathematics, 2014, 68 (1), pp.93-103. ⟨hal-03228108⟩

• Article dans une revue

Weighted analytic regularity in polyhedra

Martin Costabel, Monique Dauge, Serge Nicaise

We explain a simple strategy to establish analytic regularity for solutions of second order linear elliptic boundary value problems. The abstract framework presented here helps to understand the proof of analytic regularity in polyhedral domains given in "http://hal.archives-ouvertes.fr/hal-...

Computers & Mathematics with Applications, 2014, 67 (4), pp.807-817. ⟨10.1016/j.camwa.2013.03.006⟩. ⟨hal-00735620v2⟩

• Communication dans un congrès

Points massiques, courbes de Bézier quadratiques et coniques : un état de l'art

Jean-Paul Becar, Lionel Garnier

Les courbes de Bézier quadratiques jouent un rôle fondamental pour la modélisation d'arc de coniques. L'utili-sation de points massiques permet de modéliser des demi-coniques dans le plan affine euclidien. A partir d'une courbe de Bézier de degré 2 donnée, il est possible de..., It is well known quadratic Bézier curves define conics. The use of massic points permits to define a semi-conic in the Euclidean plane. Moreover, from a given quadratic Bézier curve, we can determine the properties of the underlying conic. Moreover, the choice of an adequat non-degenerate...

GTMG 2014, Mar 2014, LYON, France. ⟨hal-02516049⟩

• Article dans une revue

Stochastic Runge-Kutta methods with the constant elasticity of variance (CEV) diffusion model for pricing option

Rajae Aboulaich, Abdelilah Jraifi, Medarhri Ibtissam

In order to solve numerically the constant elasticity of variance (CEV) model for pricing of European call option, we propose in this work the Stochastic Runge-Kutta method. We compare the obtained results using this approache, with those given by the Monte Carlo method in Broadie-Kaya [4]. Further...

Int. J. Math. Anal. , 2014, 8 (18), pp.849-856. ⟨10.12988/ijma.2014.4381⟩. ⟨hal-03135016⟩

• Article dans une revue

Isotropic affine hypersurfaces of dimension 5

Olivier Birembaux, Luc Vrancken

We study affine hypersurfaces M which have isotropic difference tensor. Note that any surface always has isotropic difference tensor. Therefore, we may assume that n > 2. Such hypersurfaces have previously been studied by the first author and M. Djoric in [1] under the additional assumption that...

Journal of Mathematical Analysis and Applications, 2014, 417 (2), pp.918-962. ⟨10.1016/j.jmaa.2014.03.071⟩. ⟨hal-03233808⟩

• Article dans une revue

Lighter tableware ceramic by controlling porosity: Effect of porosity on mechanical properties

Benjamin Verhaeghe, Christian Courtois, F. Petit, F. Cambier, Jean-Dominique Guerin, Anne Leriche, Stuart Hampshire

Reduction in weight of ceramics has been achieved by using a specific porous agent, starch, to achieve porosity ranging from 10% to 35%. Two incorporation routes of the porous agent have been investigated. For different levels of weight reduction, ceramics are characterized by microstructural...

Ceramics International, 2014, 40 (1), pp.763-770. ⟨10.1016/j.ceramint.2013.06.066⟩. ⟨hal-03448297⟩

• Chapitre d'ouvrage

Introduction à la théorie du contrôle

Virginie Régnier

Introduction à quelques problèmes d’EDP : notes du groupe de travail de l’équipe EDP du Laboratoire de Mathématiques et leurs Applications de Valenciennes, Ed. Universitaires Européennes, pp.155-186, 2014, 9786131506833. ⟨hal-03142471⟩

• Article dans une revue

Stabilization of the wave equation in a polygonal domain with cracks

Gilbert Bayili, Serge Nicaise

The stabilization of the wave equation in a polygonal domain with cracks is analyzed. Using the multiplier method, we show that a boundary stabilization augmented by an internal one concentrated in a small neighbourhood of the cracks lead to the exponential stability of the problem.

Revista Matematica Complutense, 2014, 27 (1), pp.259-289. ⟨10.1007/s13163-012-0113-z⟩. ⟨hal-03133116⟩

• Article dans une revue

On two optimal control problems for magnetic fields

Serge Nicaise, Simon Stingelin, Fredi Tröltzsch

Two optimal control problems for instationary magnetization processes are considered in 3D spatial domains that include electrically conducting and nonconducting regions. The magnetic fields are generated by induction coils. In the first model, the induction coil is considered as part of the...

Computational Methods in Applied Mathematics, 2014, 14 (4), pp.555-573. ⟨10.1515/cmam-2014-0022⟩. ⟨hal-03166081⟩

• Article dans une revue

Exponential stability of abstract evolution equations with time delay

Serge Nicaise, Cristina Pignotti

We consider abstract semilinear evolution equations with a time-delay feedback. We show that, if the C (0)-semigroup describing the linear part of the model is exponentially stable, then the whole system retains this good property when a suitable smallness condition on the time-delay feedback is...

Journal of Evolution Equations, 2014, 15 (1), pp.107-129. ⟨10.1007/s00028-014-0251-5⟩. ⟨hal-03166075⟩