Publications

• 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 -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-03166220⟩

• Communication dans un congrès

La rithmomachie, un "jeu pédagogique" du 11ème au 16ème siècle

Francois Goichot

22ème colloque inter-IREM Epistémologie, 2018, Grenoble, France. 19 p. ⟨hal-03187606⟩

• Article dans une revue

A prescribed anisotropic mean curvature equation modeling the corneal shape: A paradigm of nonlinear analysis

Chiara Corsato, Colette De Coster, Franco Obersnel, Pierpaolo Omari, Alessandro Soranzo

In this paper we survey, complete and refine some recent results concerning the Dirichlet problem for the prescribed anisotropic mean curvature equation (Equation Presented), in a bounded Lipschitz domain Ω ⊂ RN, with a, b > 0 parameters. This equation appears in the description of the geometry…

Discrete and Continuous Dynamical Systems - Series S, 2018, 11 (2), pp.213-256. ⟨10.3934/dcdss.2018013⟩. ⟨hal-03135736⟩

• Article dans une revue

Finite element approximation of electromagnetic fields using nonfitting meshes for Geophysics

Théophile Chaumont-Frelet, Serge Nicaise, David Pardo

We analyze the use of non-fitting meshes for simulating the propagation of electromagnetic waves inside the Earth. In order to take into account subcell conductivity variations, we propose a simple " exact integration technique " that avoids the use of parameter homogenization and employs…

SIAM Journal on Numerical Analysis, 2018, 56 (4), pp.2288-2321. ⟨10.1137/16m1105566⟩. ⟨hal-01706452v2⟩

• Article dans une revue

Classification of δ(2,n − 2)-ideal Lagrangian submanifolds in n-dimensional complex space forms

Bang-Yen Chen, Franki Dillen, Joeri van Der Veken, Luc Vrancken

It was proven in [4] that every Lagrangian submanifold M of a complex space form M˜n(4c) of constant holomorphic sectional curvature 4c satisfies the following optimal inequality: δ(2,n−2)≤[Formula presented]H2+2(n−2)c, where H2 is the squared mean curvature and δ(2,n−2) is a δ-invariant on M. In…

Journal of Mathematical Analysis and Applications, 2018, 458 (2), pp.1456-1485. ⟨10.1016/j.jmaa.2017.10.044⟩. ⟨hal-03233923⟩

• Communication dans un congrès

Modéliser un demi-cercle et autres questions de poids nuls

Jean-Paul Becar, Laurent Fuchs, Lionel Garnier

Les courbes de Bézier rationnelles avec des points pondérés peinent à prendre en compte certaines situations élémentaires comme la modélisation d'un demi-cercle avec une courbe de degré 2. Dans cet article nous mon-trons comment l'utilisation de courbes de Bézier rationnelles avec des…

JFIG 18, Université de Poitiers, Nov 2018, POITIERS, France. ⟨hal-02508960⟩

• Article dans une revue

Mechanical Properties, Structure, Bioactivity and Cytotoxicity of Bioactive Na-Ca-Si-P-O-(N) Glasses

Assia Mabrouk, Ahmed Bachar, Ali Atbir, Claudine Follet-Houttemane, Cyrille Albert-Mercier, Arnaud Tricoteaux, Anne Leriche, Stuart Hampshire

Bioactive glasses are able to bond to bone through formation of carbonated hydroxyapatite in body fluids. However, because of their poor strength their use is restricted to non-load-bearing applications. The effects of nitrogen addition on the physical and mechanical properties and structure of…

Journal of the mechanical behavior of biomedical materials, 2018, 86, pp.284-293. ⟨10.1016/j.jmbbm.2018.06.023⟩. ⟨hal-04351733⟩

• Article dans une revue

Study of novel oxyfluoronitride bioglasses

Assia Mabrouk, A. Marrouche, Claudine Follet-Houttemane, Ali Atbir, L. Boukir, Fouad Bentiss, A. Bachar

Bioglasses are used as bone substitutes and prosthetic coatings. Following implantation, they are predisposed to generate a series of physicochemical reactions at the glass-bone interface. Bioglasses with molar composition: 55SiO2–8.5CaO–31.5Na2O–5CaF2 have been synthesized and characterized.…

Journal of Materials and Environmental Science , 2018, 9 (6), pp.1866-1874. ⟨hal-04351717⟩

• 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⟩

• Communication dans un congrès

Points massiques, cubiques Bézier rationnelles et leur points singuliers

Jean-Paul Becar, Karine Serier, Lionel Garnier, Laurent Fuchs

Cet articleétend l'étude des points singuliers des courbes rationnelles cubiques. Ellle porte sur les points d'inflexion, les points doubles et points de rebroussement. Les courbes cubiques rationnelleś etudiées sont décrites au moyen de la technique des points massiques. Un point…

CNRIUT 2018, 2018, AIX EN PROVENCE, France. ⟨hal-02508920⟩