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Affichage de 1011 à 1020 sur 1078

  • Article dans une revue

On the observability of abstract time-discrete linear parabolic equations

Sylvain Ervedoza, Julie Valein

This article aims at analyzing the observability properties of time-discrete approximation schemes of parabolic equations Ż + Az = 0, where A is a self- adjoint positive definite operator with dense domain and compact resolvent. We analyze the observability properties of these diffusive systems for…

Revista Matematica Complutense, 2010, 23 (1), pp.163-190. ⟨10.1007/s13163-009-0014-y⟩. ⟨hal-00599624⟩

  • Article dans une revue

Stabilization of second order evolution equations with unbounded feedback with delay

Serge Nicaise, Julie Valein

We consider abstract second order evolution equations with unbounded feedback with delay. Existence results are obtained under some realistic assumptions. Sufficient and explicit conditions are derived that guarantee the exponential or polynomial stability. Some new examples that enter into our…

ESAIM: Control, Optimisation and Calculus of Variations, 2010, 16 (2), pp.420-456. ⟨10.1051/cocv/2009007⟩. ⟨hal-00599632⟩

  • Article dans une revue

Weighted regularization for composite materials in electromagnetism

Patrick Ciarlet, François Lefèvre, Stéphanie Lohrengel, Serge Nicaise

In this paper, a weighted regularization method for the time-harmonic Maxwell equations with perfect conducting or impedance boundary condition in composite materials is presented. The computational domain Ω is the union of polygonal or polyhedral subdomains made of different materials. As a result…

ESAIM: Mathematical Modelling and Numerical Analysis, 2010, 44 (1), pp.75-108. ⟨10.1051/m2an/2009041⟩. ⟨hal-00873065⟩

  • Article dans une revue

Stabilization of second order evolution equations with unbounded feedback with time-dependent delay

Emilia Fridman, Serge Nicaise, Julie Valein

We consider abstract second order evolution equations with unbounded feedback with time-varying delay. Existence results are obtained under some realistic assumptions. We prove the exponential decay under some conditions by introducing an abstract Lyapunov functional. Our abstract framework is…

SIAM Journal on Control and Optimization, 2010, 48 (8), pp.5028-5052. ⟨10.1137/090762105⟩. ⟨hal-00599627⟩

  • Chapitre d'ouvrage

Mellin analysis of weighted Sobolev spaces with nonhomogeneous norms on cones

Martin Costabel, Monique Dauge, Serge Nicaise

On domains with conical points, weighted Sobolev spaces with powers of the distance to the conical points as weights form a classical framework for describing the regularity of solutions of elliptic boundary value problems, cf.\ papers by Kondrat'ev and Maz'ya-Plamenevskii. Two classes of…

Ari Laptev, Tamara Rozhkovskaya. Around the Research of Vladimir Maz'ya I, Function Spaces., Springer, pp.105-136, 2010, International Mathematical Series volume 11. ⟨hal-00402645⟩

  • Article dans une revue

Mechanism of Metal Oxide Nanoparticle Loading in SBA-15 by the Double Solvent Technique

Juliette van Der Meer, Isabelle Bardez-Giboire, Cyrille Albert-Mercier, Bertrand Revel, Anne Davidson, Renaud Denoyel

The interaction between SBA-15 mesoporous silica, alkane solvents, and water was studied to understand the mechanism of the so-called double solvent technique. This method facilitates the loading of the pores of SBA-15 with a metal oxide precursor soln., by prewetting the SBA-15 with an alkane. In…

Journal of Physical Chemistry C, 2010, 114 (8), pp.3507-3515. ⟨10.1021/jp907002y⟩. ⟨hal-00604812⟩

  • Article dans une revue

Vickers Indentation Fracture (VIF) modeling to analyze multi-cracking toughness of Titania, Alumina and Zirconia plasma sprayed coatings

Didier Chicot, G. Duarte, Arnaud Tricoteaux, Benoît Jorgowski, Anne Leriche, Jacky Lesage

For massive brittle materials, the fracture toughness in mode I, KIC, can be determined using various reliable techniques. Besides, Vickers Indentation Fracture (VIF) technique has been developed to locally determine fracture toughness. However, since the indentation test generates a complex three-…

Materials Science and Engineering: A, 2009, 527 (1-2), pp.65-76. ⟨10.1016/j.msea.2009.08.058⟩. ⟨hal-00429771⟩

  • Pré-publication, Document de travail

Numerical scheme for a whole class of sweeping process

Juliette Venel

The aim of this paper is to study a whole class of first order differential inclusions, which fit into the framework of perturbed sweeping process by uniformly prox-regular sets. After obtaining well-posedness results, we propose a numerical scheme based on a prediction-correction algorithm and we…

2009. ⟨hal-00376442v2⟩

  • Pré-publication, Document de travail

Energy decay for solutions of the wave equation with general memory boundary conditions.

Pierre Cornilleau, Serge Nicaise

We consider the wave equation in a smooth domain subject to Dirichlet boundary conditions on one part of the boundary and dissipative boundary conditions of memory-delay type on the remainder part of the boundary, where a general borelian measure isinvolved. Under quite weak assumptions on this…

2009. ⟨hal-00360382⟩

  • Article dans une revue

STABILITY OF THE HEAT AND OF THE WAVE EQUATIONS WITH BOUNDARY TIME-VARYING DELAYS

Serge Nicaise, Julie Valein, Emilia Fridman

Exponential stability analysis via Lyapunov method is extended to the one-dimensional heat and wave equations with time-varying delay in the boundary conditions. The delay function is admitted to be time-varying with an a priori given upper bound on its derivative, which is less than 1. Sufficient…

Discrete and Continuous Dynamical Systems - Series S, 2009, 2 (3), pp.559-581. ⟨10.3934/dcdss.2009.2.559⟩. ⟨hal-03579866⟩