Publications

Affichage de 691 à 700 sur 1005

ART

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⟩

ART

Investigation of the internal structure of flax fibre cell walls by transmission electron microscopy

Anthony Thuault, Bernadette Domengès, Isabelle Hervas, Moussa Gomina

The development of the use of flax fibre as reinforcement of eco-friendly composite materials requires a good knowledge of its hydrothermal and mechanical behaviours. To this end the fibre internal structure must be finely investigated. Transmission electron microscopy was used to analyse the…

Cellulose, 2015, 22 (6), pp.3521-3530. ⟨10.1007/s10570-015-0744-6⟩. ⟨hal-02184130⟩

ART

The multidimensional wave equation with generalized acoustic boundary conditions I: Strong stability

Zainab Abbas, Serge Nicaise

We study the wave equation on a domain of ℝd, d ≥ 2, with dynamical boundary control applied on a part of the boundary and a Dirichlet boundary condition on the remaining part. We prove the asymptotic stability and nonuniform stability of the associated semigroup.

SIAM Journal on Control and Optimization, 2015, 53 (4), pp.2558-2581. ⟨10.1137/140971336⟩. ⟨hal-03134826⟩

ART

Three-Dimensional Minimal CR Submanifolds of the Sphere S 6 (1) Contained in a Hyperplane

Miroslava Antić, Luc Vrancken

It is well known that the sphere S6(1) admits an almost complex structure J, constructed using the Cayley algebra, which is nearly Kähler. Let M be a Riemannian submanifold of a manifold (Formula Presented.) with an almost complex structure J. It is called a CR submanifold in the sense of Bejancu (…

Mediterranean Journal of Mathematics, 2015, 12 (4), pp.1429-1449. ⟨10.1007/s00009-015-0530-6⟩. ⟨hal-03233786⟩

ART

A posteriori residual error estimators with mixed boundary conditions for quasi-static electromagnetic problems

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

The purpose of this paper is to propose some a posteriori residual error estimators (REEs)to evaluate the accuracy of the finite element method for quasi-static electromagnetic problems with mixed boundary conditions. Both classical magnetodynamic A-ϕ and T-Ω formulations in harmonic case are…

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2015, 34 (3), pp.724-739. ⟨10.1108/COMPEL-10-2014-0256⟩. ⟨hal-01243637⟩

OUV

Stabilization of elastic systems by collocated feedback

Kaïs Ammari, Serge Nicaise

Springer Verlag, 2124, 178 p., 2015, Lecture Notes in Mathematics. ⟨hal-03227597⟩

ART

Stabilization and asymptotic behavior of a generalized telegraph equation

Serge Nicaise

We analyze the stability of different models of the telegraph equation set in a real interval. They correspond to the coupling between a first-order hyperbolic system and a first-order differential equation of parabolic type. We show that some models have an exponential decay rate, while other ones…

Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2015, 66 (6), pp.3221-3247. ⟨10.1007/s00033-015-0568-0⟩. ⟨hal-03151992⟩