Publications

• 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

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

Error estimates of Morley triangular element satisfying the maximal angle condition

Shipeng Mao, Serge Nicaise, Zhong-Ci Shi

In this paper, we establish the convergence of a nonconforming triangular Morley element for the plate bending problem on degenerate meshes. An explicit bound for the interpolation error is derived for arbitrary triangular meshes without any assumptions. The optimal convergence rates of the moment…

International Journal of Numerical Analysis and Modeling, 2010, 7 (4), pp.639-655. ⟨inria-00543202⟩

• Communication dans un congrès

Cross-coupling cancellation in transducer arrays

Abdelmajid Bybi, Christian Granger, Sébastien Grondel, Jamal Assaad, Mohamed Rguiti, Anne-Christine Hladky, Emmanuel Moulin

1st Mediterranean Congress on Acoustics, MCA 2010, 2010, Salé, Morocco. ⟨hal-00808303⟩

• 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, A Tricoteaux, Benoît Jorgowski, Anne Leriche, J. Lesage

Materials Science and Engineering: A, 2009, 527 (1-2), pp.65-76. ⟨10.1016/J.MSEA.2009.08.058⟩. ⟨hal-03577757⟩

• 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

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⟩