Publicaciones

• Communication dans un congrès

Épistémologie et Histoire des Mathématiques : architecture d’une réforme, les mathématiques modernes dans la seconde moitié du XXème siècle

Arnaud Carsalade, Francois Goichot, Anne-Marie Marmier

• Article dans une revue

A Resonant-Superlinear Elliptic Problem Revisited

Mabel Cuesta, Colette De Coster

We consider the resonant-superlinear elliptic problem−∆u=λ1u+(u+)q+f(x), withDirichlet boundary conditions on a bounded regular domain ofRN. We assume that 1<q<N+1N−1,f∈Ls(Ω) withs>Nsatisfies∫Ωfφ1<0 and (λ1,φ1) is the first eigenpair of−∆onH10(Ω). We apply a non-well ordered lower and...

Advanced Nonlinear Studies, 2013, 13 (1), pp.97-114. ⟨10.1515/ans-2013-0106⟩. ⟨hal-03137546⟩

• Article dans une revue

Time-domain study of the Drude–Born–Fedorov model for a class of heterogeneous chiral materials

Serge Nicaise

We deal with the well-posedness of the transient Maxwell equations in a particular class of heterogeneous isotropic chiral material modeled by the Drude-Born-Fedorov constitutive relations with different boundary conditions. A new formulation of the underlying evolution problems allows us to...

Mathematical Methods in the Applied Sciences, 2013, 36 (7), pp.794-813. ⟨10.1002/mma.2627⟩. ⟨hal-03163846⟩

• Article dans une revue

Mechanical Properties of Porosity-Free Beta Tricalcium Phosphate (&lt;i&gt;β&lt;/i&gt;-TCP) Ceramic by Sharp and Spherical Indentations

Didier Chicot, Arnaud Tricoteaux, J. Lesage, Anne Leriche, Michel Descamps, E. Rguiti-Constantin

Instrumented indentation has been developed for determining the mechanical properties of materials but an accurate determination of these properties requires attention on contact stiffness analysis, indentation size effect, elastic modulus mode of calculation, role of stress distribution around the...

New Journal of Glass and Ceramics, 2013, 03 (01), pp.16-28. ⟨10.4236/njgc.2013.31004⟩. ⟨hal-03586273⟩

• Article dans une revue

Uniformly exponentially or polynomially stable approximations for second order evolution equations and some applications

Farah Abdallah, Serge Nicaise, Julie Valein, Ali Wehbe

In this paper, we consider the approximation of second order evolution equations. It is well known that the approximated system by finite element or finite difference is not uniformly exponentially or polynomially stable with respect to the discretization parameter, even if the continuous system...

ESAIM: Control, Optimisation and Calculus of Variations, 2013, 19 (3), pp.844-887. ⟨10.1051/cocv/2012036⟩. ⟨hal-00755744⟩

• Article dans une revue

Stabilization by switching time–delay

Kaïs Ammari, Serge Nicaise, Cristina Pignotti

In this paper we consider some stabilization problems for the wave equation with switching time-delay. We prove exponential stability results for appropriate damping coefficients. The proof of the main results is based on D'Alembert formula, observability inequality and some energy estimates....

Asymptotic Analysis, 2013, 83 (3), pp.263-283. ⟨10.3233/ASY-131163⟩. ⟨hal-03138782⟩

• Article dans une revue

Realizable Galois module classes over the group ring for non abelian extensions, Classes galoisiennes réalisables sur l’anneau de groupe d’extensions non abéliennes

Nigel Byott, Bouchaïb Sodaïgui

Given an algebraic number field k and a finite group T, we write R(Ok[T]) for the subset of the locally free classgroup Cl(Ok[T]) consisting of the classes of rings of integers ON in tame Galois extensions N/k with Gal(N/k) T = T. We determine R(Ok[T]), and show it is a subgroup of Cl(Ok[T]) by...

Annales de l'Institut Fourier, 2013, 63 (1), p. 303-371. ⟨10.5802/aif.2762⟩. ⟨hal-03165412⟩

• Article dans une revue

On the asymptotic behavior of transmission thin shell problems

Ismail Merabet, Serge Nicaise, D.A. Chacha

In this paper we study the asymptotic behavior of two-dimensional transmission problems for the linear Koiter model of an elastic multi-structure composed of two thin shells with the same thickness ε<<1. Contrary to the case of membrane shells, the formal limit problem, i.e., for ε=0, fails...

Asymptotic Analysis, 2013, 82 (1-2), p. 163-185. ⟨10.3233/ASY-121144⟩. ⟨hal-03163628⟩

• 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

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⟩