Publications

• Communication dans un congrès

Estimation géométrique des tangentes à partir de coniques et algèbre géométrique. Exemples sous GAviewer

Jean-Paul Becar, Laurent Fuchs, Lionel Garnier

Les nombres complexes sont fortement liés à la géométrie plane. Si les rotations, symétries et similitudes planes parmi d'autres s'expriment aisément à l'aide des complexes, le mérite de ce mode de représentation prend tout son sens dans toutes les compositions de ces transformations…

GTMG 2018, 2018, AIX EN PROVENCE, France. ⟨hal-02508953⟩

• Article dans une revue

Fast Spectral Galerkin Method for Logarithmic Singular Equations on a Segment

Carlos F. Jerez-Hanckes, Serge Nicaise, Carolina Urzúa-Torres

We present a fast Galerkin spectral method to solve logarithmic singular equations on segments. The proposed method uses weighted first-kind Chebyshev polynomials. Convergence rates of several orders are obtained for fractional Sobolev spaces H −1/2 (or H −1/2 00). Main tools are the approximation…

Journal of Computational Mathematics -International Edition-, 2018, 36 (1), pp.128-158. ⟨10.4208/jcm.1612-m2016-0495⟩. ⟨hal-01956620⟩

• Article dans une revue

Well-posedness and stability results for nonlinear abstract evolution equations with time delays

Serge Nicaise, Cristina Pignotti

We consider abstract evolution equations with a nonlinear term depending on the state and on delayed states. We show that, if the C0 -semigroup describing the linear part of the model is exponentially stable, then the whole system retains this property under some Lipschitz continuity assumptions on…

Journal of Evolution Equations, 2018, 18 (2), pp.947-971. ⟨10.1007/s00028-018-0427-5⟩. ⟨hal-01955977⟩

• Article dans une revue

Estimates of oscillatory integrals with stationary phase and singular amplitude: Applications to propagation features for dispersive equations

Florent Dewez

In this paper, we study time‐asymptotic propagation phenomena for a class of dispersive equations on the line by exploiting precise estimates of oscillatory integrals. We propose first an extension of the van der Corput Lemma to the case of phases which may have a stationary point of real order and…

Mathematical News / Mathematische Nachrichten, 2018, 291 (5-6), pp.793-826. ⟨10.1002/mana.201600218⟩. ⟨hal-03142498⟩

• Ouvrages

Synthesis and characterization of doped bioactive glasses

Claudine Follet-Houttemane, Cyrille Albert-Mercier, Ahmed Bachar, Rémy Catteaux, Cédric Duée, Françoise Désanglois, Isabelle Lebecq

Gurbinder Kaur. Woodhead Publishing, Elsevier, Biomedical and Therapeutic and Clinical Applications of Bioactive glasses (Chapter 3), pp.69-123, 2018, 9780081021965. ⟨hal-05538341⟩

• Article dans une revue

New System to Harvest Road Energy Using Piezoelectric Polymers

Chouaib Ennawaoui, Houda Lifi, Abdelowahed Hajjaji, Az-Eddine Azim, Abdessamad Elballouti, Mohamed Rguiti

Green energy is regarded as an essential element for energy production, sustainable development, technological, industrial, and governmental innovations in the world. An increase in the green energy consumption often provides a positive impact on economic growth and social development. A great deal…

Sensor letters, 2018, 16 (1), pp.41-47. ⟨10.1166/sl.2018.3932⟩. ⟨hal-03477106⟩

• Article dans une revue

Properties of the nearly kähler S3×S3

Marilena Moruz, Luc Vrancken

We show how the metric, the almost complex structure and the almost product structure of the homogeneous nearly Kahler S3 × S3 can be recovered from a submersion π : S3 × S3 × S3 → S3 × S3. On S3 × S3 × S3 we have the maps obtained either by changing two coordinates, or by cyclic permutations. We…

Publications de l'Institut Mathématique., 2018, 103 (117), pp.147-158. ⟨10.2298/PIM1817147M⟩. ⟨hal-03184977⟩

• Article dans une revue

Design and Construction of a Multifunction Piezoelectric Transformer

Adil Eddiai, Mounir Meddad, Mohamed Rguiti, Aïda Chérif, Christian Courtois

In recent years, piezoelectric materials have particularly found advantageous field of application in electrical energy’s conversion. Especially, the piezoelectric transformers are becoming more and more usable in electrical devices owing to several advantages such as small size, high efficiency,…

Journal of The Australian Ceramic Society, 2018, 55 (1), pp.19-24. ⟨10.1007/s41779-018-0206-3⟩. ⟨hal-03120970⟩

• Communication dans un congrès

Usage des points massiques et des courbes de Bézier pour la modélisation des cubiques

Karine Serier, Jean-Paul Becar, Lionel Garnier

Cet article étend l'étude des points singuliers et des points d'inflexion des courbes rationnelles cubiques en s'ins-pirant de la méthode proposée par M. Sakai dans le cadre des points massiques. L'intérêt des points massiques permet de représenter une boucle c'est à dire…

GTMG 2018, ENSAM, 2018, AIX EN PROVENCE, France. ⟨hal-02508926⟩

• Poster de conférence

«Nanoscale piezoelectric measurements on single PVDF textile filament»

A. Ferri, F. Rault, A. da Costa, C. Cochrane, M. Boudriaux, G. Lemort, C. Campagne, E. Devaux, Christian Courtois, R. Desfeux

Forum des microscopies à sonde locale, 2018, La Rochelle, France. 2018. ⟨hal-01753235⟩