Publicaciones

• Article dans une revue

Dispersive waves with multiple tunnel effect on star shaped networks

Felix Ali Mehmeti, Robert Haller-Dintelmann, Virginie Régnier

We consider the Klein-Gordon equation on a star-shaped network composed of n half-axes connected at their origins. We add a potential which is constant but dierent on each branch. The corresponding spatial operator is self-adjoint and we state explicit expressions for its resolvent and its...

Discrete and Continuous Dynamical Systems - Series S, 2013, 6 (3), pp.783-791. ⟨10.3934/dcdss.2013.6.783⟩. ⟨hal-03227666⟩

• Article dans une revue

Polynomial decay rate for a wave equation with general acoustic boundary feedback laws

Serge Nicaise, Zainab Abbas

We consider the stabilization of the wave equation by a general class of acoustic boundary feedback laws at one extremity. This system is not uniformly stable but we furnish sufficient conditions that guarantee a polynomial stability. Our method combines the use of an observability inequality for...

SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 2013, 61 (1), pp.19-48. ⟨10.1007/s40324-013-0002-5⟩. ⟨hal-03134810⟩

• Communication dans un congrès

Courbes algébriques-trigonométriques à holographe pythagorien et leur utilisation pour résoudre le problème d'interpolation de Hermite

Laura Saini, Lucia Romani, Gudrun Albrecht

Journées de modélisation géométrique, 2013, Marseille, France. ⟨hal-03187567⟩

• Article dans une revue

Lower and upper solutions for the heat equation on a polygonal domain of R2

Colette De Coster, Serge Nicaise

We consider the nonlinear periodic-Dirichlet heat equation on a polygonal domain of the plane in weighted Lp-Sobolev spaces equation presented Here f is Lp(0; T;Lpμ(Ω)-Caratheodory, where L pμ(Ω) = {v ε Lploc(Ω) : rμv ε Lp(Ω)}, with a real parameter μ and r(x) the distance from x to the set of...

Differential and integral equations, 2013, 26 (5/6), pp.603-622. ⟨hal-03137717⟩

• Article dans une revue

Spectral analysis and exponential or polynomial stability of some indefinite sign damped problems

F. Abdallah, D. Mercier, Serge Nicaise

In this paper, we consider two damped wave problems for which the damping terms are allowed to change their sign. Using a careful spectral analysis, we find critical values of the damping coefficients for which the problem becomes exponentially or polynomially stable up to these critical values.

Evolution Equations and Control Theory, 2013, 2, pp.1-33. ⟨10.3934/eect.2013.2.1⟩. ⟨hal-03134858⟩

• Article dans une revue

Photocatalytic solution discoloration and self-cleaning by polyester fabric functionalized with ZnO nanorods

Munir Ashraf, Philippe Champagne, Anne Perwuelz, Campagne Christine, Anne Leriche

Polyester fabric was functionalized with ZnO nanorods grown by hydrothermal method. The ZnO seeds were deposited on fabric which provided the sites for growth of nanorods. The functionalized fabric showed self-cleaning by degrading color stains and solution discoloration under the effect of...

Journal of Industrial Textiles, 2013, 44 (6), pp.884-898. ⟨10.1177/1528083713519662⟩. ⟨hal-03121037⟩

• Article dans une revue

Residual-based a posteriori estimators for the T/Omega magnetodynamic harmonic formulation of the Maxwell system

Emmanuel Creusé, Serge Nicaise, Zuqi Tang, Yvonnick Le Menach, Nicolas Nemitz, Francis Piriou

In this paper, we focus on an a posteriori residual-based error estimator for the T/Omega magnetodynamic harmonic formulation of the Maxwell system. Similarly to the A/Phi formulation, the weak continuous and discrete formulations are established, and the well-posedness of both of them is addressed...

International Journal of Numerical Analysis and Modeling, 2013, 10 (2), pp.411-429. ⟨10.1142/S021820251150028X⟩. ⟨hal-00777601⟩

• Article dans une revue

Residual and Equilibrated Error Estimators for Magnetostatic Problems Solved by Finite Element Method

Zuqi Tang, Yvonnick Le Menach, Emmanuel Creusé, Serge Nicaise, Francis Piriou, Nicolas Nemitz

In finite element computations, the choice of the mesh is crucial to obtain accurate solutions. In order to evaluate the quality of the mesh, a posteriori error estimators can be used. In this paper, we develop residual-based error estimators for magnetostatic problems with both classical...

IEEE Transactions on Magnetics, 2013, 49 (12), pp.5715-5723. ⟨10.1109/TMAG.2013.2271993⟩. ⟨hal-00910314⟩

• Article dans une revue

Option pricing with constant elasticity of variance (CEV) model

Rajae Aboulaich, M. L. Hadji, Abdelilah Jraifi

In this work we propose an approximate numerical method for pricing of options for the constant elasticity of variance (CEV) diffusion model. We prove firstly the existence and uniqueness of the solution in weighted Sobolev space, and then we propose the finite element method and finite difference...

Applied Mathematical Sciences, 2013, 7 (109), pp.5443-5456. ⟨10.12988/ams.2013.36339⟩. ⟨hal-03135010⟩

• Chapitre d'ouvrage

Les céramiques pour l’électronique et l’électrotechnique

Catherine Elissalde, Sylvain Marinel, Jean-Claude Nièpce, Alain Beauger, Christian Eric Bruzek, Christian Courtois, Jean Denape, Jean Pierre Ganne, Arnaud Girard, Richard Lebourgeois, Mario Maglione, Jean-Frédéric Martin, Michel Paté

Ce chapitre est consacré au très vaste domaine des céramiques pour l’électronique et l’électrotechnique : céramiques résistives, conductrices, supraconductrices, diélectriques, magnétiques, linéaires ou non linéaires, piézoélectriques, multifonctionnelles. En perpétuelle évolution: de plus en...

Gilbert Fantozzi; Jean-Claude Nièpce; Guillaume Bonnefont. Les céramiques industrielles : propriétés, mise en forme et applications, Dunod, pp.269-321, 2013, 978-2-10-057739-2. ⟨hal-04163876⟩