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Affichage de 481 à 490 sur 549

Article dans une revue

Morphotropic phase boundary in the BNT–BT–BKT system

Jean-François Trelcat, Christian Courtois, Mohamed Rguiti, Anne Leriche, Paul-Henri Duvigneaud, Tiriana Segato

Lead-free x Bi0.5Na0.5TiO3–y BaTiO3–z Bi0.5K0.5TiO3 piezoelectric ceramics were synthesized by a conventional solid state reaction method. The microstructure, ferroelectric and piezoelectric properties of the ceramics were investigated. Structure measurements by X-ray diffraction with Rietveld…

Ceramics International, 2012, 38 (4), pp.2823-2827. ⟨10.1016/j.ceramint.2011.11.053⟩. ⟨hal-04281117⟩

Article dans une revue

Stabilization of non-homogeneous elastic materials with voids

Serge Nicaise, Julie Valein

We study the asymptotic behavior of the solution of the non-homogeneous elastic system with voids and a thermal effect. We first prove the well-posedness of this system under some realistic assumptions on the coefficients. Since this system suffers of exponential stability (as shown in dimension 1…

Journal of Mathematical Analysis and Applications, 2012, 387 (2), pp.1061-1087. ⟨10.1016/j.jmaa.2011.10.018⟩. ⟨hal-00644065⟩

Article dans une revue

Residual-based a posteriori estimators for the A/phi magnetodynamic harmonic formulation of the Maxwell system

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

This paper is devoted to the derivation of an a posteriori residual-based error estimator for the A/phi magnetodynamic harmonic formulation of the Maxwell system. The weak continuous and discrete formulations are established, and the well-posedness of both of them is addressed. Some useful…

Mathematical Models and Methods in Applied Sciences, 2012, 22 (5), pp.30. ⟨10.1142/S021820251150028X⟩. ⟨hal-00562073⟩

Article dans une revue

Stability results for the approximation of weakly coupled wave equations

Farah Abdallah, Serge Nicaise, Julie Valein, Ali Wehbe

In this note, we consider the approximation of two coupled wave equations with internal damping. Our goal is to damp the spurious high frequency modes by introducing numerical viscosity terms in the approximation schemes. With these viscosity terms, we show the exponential or polynomial decay of…

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2012, 350 (1-2), pp.29-34. ⟨10.1016/j.crma.2011.12.004⟩. ⟨hal-00755739⟩

Article dans une revue

Spectral analysis and stabilization of a chain of serially connected Euler-Bernoulli beams and strings

Kais Ammari, Denis Mercier, Virginie Régnier, Julie Valein

We consider N Euler-Bernoulli beams and N strings alternatively connected to one another and forming a particular network which is a chain beginning with a string. We study two stabilization problems on the same network and the spectrum of the corresponding conservative system: the characteristic…

Communications on Pure and Applied Analysis, 2012, 11 (2), pp.785--807. ⟨10.3934/cpaa.2012.11.785⟩. ⟨hal-00644058⟩

Article dans une revue

Infinitely many radial solutions of a mean curvature equation in Lorentz-Minkowski space

Denis Bonheure, Colette De Coster, Ann Derlet

In this paper, we show that the quasilinear equation - div(\frac{\nabla u}{\sqrt{1-|\nabla u|^{2}}}) = |u|^{\alpha-2}u, in R^N has a positive smooth radial solution at least for any α > 2 = 2N/(N − 2), N ≥ 3. Our approach is based on the study of the optimizers for the best constant in the…

Rendiconti dell'Istituto di Matematica dell'Universita di Trieste: an International Journal of Mathematics, 2012, 44 (1), pp.259-284. ⟨hal-03721671⟩

Article dans une revue

Analytic Regularity for Linear Elliptic Systems in Polygons and Polyhedra

Martin Costabel, Monique Dauge, Serge Nicaise

We prove weighted anisotropic analytic estimates for solutions of second order elliptic boundary value problems in polyhedra. The weighted analytic classes which we use are the same as those introduced by Guo in 1993 in view of establishing exponential convergence for <i>hp</i> finite…

Mathematical Models and Methods in Applied Sciences, 2012, 22 (8), 63 p. ⟨10.1142/S0218202512500157⟩. ⟨hal-00454133v3⟩

Article dans une revue

Influence of temperature on the hydration products of low pH cements

T. T. H. Bach, C. Cau Dit Coumes, Isabelle Pochard, Cyrille Albert-Mercier, B. Revel, André Nonat

The chemical evolution of two hydrated "low pH" binders prepared from binary (60% Portland cement + 40% silica fume) or ternary (37.5% Portland cement +32.5% silica fume + 30% fly-ash) mixtures was characterized over one year at 20 degrees C. 50 degrees C, and 80 degrees C. The main…

Cement and Concrete Research, 2012, 42 (6), pp.805-817. ⟨10.1016/j.cemconres.2012.03.009⟩. ⟨hal-00760349⟩

Article dans une revue

Existence of solutions for second-order differential inclusions involving proximal normal cones

Frederic Bernicot, Juliette Venel

In this work, we prove global existence of solutions for second order differential problems in a general framework. More precisely, we consider second order differential inclusions involving proximal normal cone to a set-valued map. This set-valued map is supposed to take admissible values (so in…, Dans cet article on démontre un résultat dʼexistence globale de solutions pour des inclusions différentielles du second ordre. Ou consideré plus précisément des inclusions différentielles du second ordre faisant apparaître le cône proximal normal dʼun ensemble C dépendant du temps. La multifonction…

Journal de Mathématiques Pures et Appliquées, 2012, 98 (3), pp.257-294. ⟨10.1016/j.matpur.2012.05.001⟩. ⟨hal-00491094⟩

Article dans une revue

Evidence of ferroelectricity in metastable Sm2Ti2O7 thin film

Zhenmian Shao, Sébastien Saitzek, Anthony Ferri, Mohamed Rguiti, Loïc Dupont, Pascal Roussel, Rachel Desfeux

The synthesis by the sol-gel route of metastable Sm 2Ti 2O 7 thin film is reported. While for standard conditions of pressure and temperature, the Sm 2Ti 2O 7 compound crystallizes in a cubic/pyrochlore structure, in the form of a thin film (grown on (110)-oriented SrTiO 3 substrate), a monoclinic/…

Journal of Materials Chemistry, 2012, 22 (19), pp.9806. ⟨10.1039/c2jm16261j⟩. ⟨hal-02269084⟩