Publications

• COMM

Warped product hypersurfaces in pseudo-riemannian real space forms

Marilena Moruz, Luc Vrancken

We study hypersurfaces in pseudo-Riemannian real space forms of non-zero sectional curvature, which write as a warped product of a 1-dimensional base with an (n − 1)-manifold of constant sectional curvature. We show that either they have constant sectional curvature or they are contained in a…

AMS Special Session on Geometry of Submanifolds, in honor of Bang-Yen Chen's 75th birthday, Oct 2018, Ann Arbor, Michigan, United States. pp.173-186, ⟨10.1090/conm/756/15207⟩. ⟨hal-03722924⟩

• ART

On product affine hyperspheres in ℝn+1

Xiuxiu Cheng, Zejun Hu, Marilena Moruz, Luc Vrancken

In this paper, we study locally strongly convex affine hyperspheres in the unimodular affine space ℝn+1 which, as Riemannian manifolds, are locally isometric to the Riemannian product of two Riemannian manifolds both possessing constant sectional curvature. As the main result, a complete…

Science China Mathematics, 2020, 63 (10), pp.2055-2078. ⟨10.1007/s11425-018-9457-9⟩. ⟨hal-03722937⟩

• ART

Nonlinear fractional Laplacian problems with nonlocal ‘gradient terms’

Boumediene Abdellaoui, Antonio J. Fernández Sánchez

Abstract Let $\Omega \subset \mathbb{R}^{N} $ , N ≽ 2, be a smooth bounded domain. For s ∈ (1/2, 1), we consider a problem of the form $$\left\{\begin{array}{@{}ll} (-\Delta)^s u = \mu(x)\, \mathbb{D}_s^{2}(u) + \lambda f(x), & {\rm in}\,\Omega, \\ u= 0, & {\rm in}\,\mathbb{R}^{N} \setminus…

Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2020, 150 (5), pp.2682-2718. ⟨10.1017/prm.2019.60⟩. ⟨hal-03337289⟩

• COMM

Fabrication of higher thermal stability doped β-tricalcium phosphate bioceramics by robocasting

Nicolas Somers, Florian Jean, Marie Lasgorceix, Anthony Thuault, Nicolas Preux, Cathy Delmotte, Fabrice Petit, Anne Leriche

β-tricalcium phosphate (β-TCP, β-Ca3(PO4)2) is one of the most attractive biomaterials for bone repair since it shows an excellent biological compatibility, osteoconductivity, and resorbability. Due to its interesting properties, it can be used to produce bone implants serving as temporary supports…

young Ceramists Additive Manufacturing Forum (YCAM 2020), Oct 2020, Online (Covid 19), France. ⟨hal-04393277⟩

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Existence, Uniqueness and Stabilization of Solutions of a Generalized Telegraph Equation on Star Shaped Networks

Alaa Hayek, Serge Nicaise, Zaynab Salloum, Ali Wehbe

The existence, uniqueness, strong and exponential stability of a generalized telegraph equation set on one dimensional star shaped networks are established. It is assumed that a dissipative boundary condition is applied at all the external vertices and an improved Kirchhoff law at the common…

Acta Applicandae Mathematicae, 2020, 170 (1), pp.823-851. ⟨10.1007/s10440-020-00360-8⟩. ⟨hal-04304997⟩

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Almost complex submanifolds of nearly Kähler manifolds

Limiao Lin, Luc Vrancken, Anne Wijffels

We study almost complex submanifolds of pseudo nearly Kähler manifolds. We show in particular that a 6 dimensional strict nearly Kähler manifold does not admit any 4 dimensional almost complex submanifolds. This generalises results obtained by Gray (Proc Am Math Soc 20:277–279, 1969) for the nearly…

Archiv der Mathematik, 2020, 115 (3), pp.353-358. ⟨10.1007/s00013-020-01469-w⟩. ⟨hal-03722951⟩

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A Localized Phage-Based Antimicrobial System: Effect of Alginate on Phage Desorption from β-TCP Ceramic Bone Substitutes

Rached Ismail, Natalia Dorighello Carareto, Jean-Christophe Hornez, Franck Bouchart

Tricalcium phosphate (TCP) is a prosthetic material commonly used as a bone substitute to repair osteoarticular diseases and injuries. In this type of bone reconstruction surgery, antibiotics remain the common preventive and therapeutic treatment for bacterial infection. Nevertheless, the emergence…

Antibiotics, 2020, 9, pp.560. ⟨10.3390/antibiotics9090560⟩. ⟨hal-04279743⟩

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Improvement in energy conversion of electrostrictive composite materials by new approach via piezoelectric effect: Modeling and experiments

Rida Farhan, Adil Eddiai, Mounir Meddad, Nabil Chakhchaoui, Mohamed Rguiti, M'Hammed Mazroui

This study proposes a new model that couples the piezoelectric and electrostrictive behavior to minimize the polarization power of composite polymer. The development of this model is capable to predict the energy harvesting abilities of an electrostrictive composite. To improve the dielectric…

Polymers for Advanced Technologies, 2020, 32 (1), pp.123-130. ⟨10.1002/pat.5066⟩. ⟨hal-04280942⟩

• COMM

Improvement of beta-TCP thermal stability by doping for macroporous scaffolds

Nicolas Somers, Florian Jean, Marie Lasgorceix, Anne Leriche, Anthony Thuault, Nicolas Preux, Cathy Delmotte, Fabrice Petit

The 8th International Congress on Ceramics (ICC8), Aug 2020, Busan, South Korea. ⟨hal-04392047⟩

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2-D Modeling of Rosen-Type Piezoelectric Transformer by Means of a Polynomial Approach

Derandraibe Jeannot Falimiaramanana, Faniry Emilson Ratolojanahary, Jean-Etienne Lefebvre, Lahoucine El Maimouni, Mohamed Rguiti

A 2-D semianalytical model using the Legendre polynomial approach was applied for modeling the piezoelectric transformer (PT). In the model, the mechanical displacements and the electric potential were expanded in a double series of orthonormal polynomials with an appropriate analytical form.…

IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 2020, 67 (8), pp.1701-1714. ⟨10.1109/TUFFC.2020.2975647⟩. ⟨hal-03480267⟩