Publications

• Article dans une revue

The Curious Spectra and Dynamics of Non-locally Finite Crystals

Joachim Kerner, Olaf Post, Mostafa Sabri, Matthias Täufer

Abstract This paper is devoted to the investigation of the spectral theory and dynamical properties of periodic graphs which are not locally finite but carry non-negative, symmetric and summable edge weights. These graphs are shown to exhibit rather intriguing behaviour: for example, we construct a…

Communications in Mathematical Physics, 2025, 406 (7), pp.169. ⟨10.1007/s00220-025-05346-x⟩. ⟨hal-05138415⟩

• Article dans une revue

Developing and characterizing a flexible piezoelectric nanogenerator based on PVA/ZnO-Fe using the electrospinning method

Saliha Rabehi, Malika Saidi, Zakia Chelli, Hayet Hamouche, Rachida Douani, Hakim Achour, Ahcène Chaouchi, Mourad Laghrouche, Nouara Lamrani, Mohamed Rguiti, Christian Courtois, Yannick Lorgouilloux, Mohamed Aymen Ben Achour

Polymer-Plastics Technology and Materials, 2025, 64 (14), pp.2267-2282. ⟨10.1080/25740881.2025.2520322⟩. ⟨hal-05687746⟩

• Pré-publication, Document de travail

Error Bounds for a Kernel-Based Constrained Optimal Smoothing Approximation

Laurence Grammont, François Bachoc, Andrés F. López-Lopera

This paper establishes error bounds for the convergence of a piecewise linear approximation of the constrained optimal smoothing problem posed in a reproducing kernel Hilbert space (RKHS). This problem can be reformulated as a Bayesian estimation problem involving a Gaussian process related to the…

2025. ⟨hal-04645086v2⟩

• Article dans une revue

Thermoelastic properties of polycrystalline strontium titanium silicate Sr₂TiSi₂O₈ synthesized via the reactive sintering method

Oussama Zwein, Maurice Gonon, Sandra Abdelouhab, Isabella Mastroianni, Marc Duquennoy

The aim of the work presented in this paper is to investigate the thermoelastic properties of polycrystalline Sr-fresnoite Sr2TiSi2O8 (STS). On that purpose, Sr2TiSi2O8 samples were synthesized by solid state reactive sintering from SrCO3, TiO2 and SiO2 powders. The thermal expansion behaviour of…

Journal of the European Ceramic Society, 2025, 45 (6), pp.117224. ⟨10.1016/j.jeurceramsoc.2025.117224⟩. ⟨hal-04923467⟩

• Article dans une revue

Infinitely many normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs with localized nonlinearities

Pablo Carrillo, Damien Galant, Louis Jeanjean, Christophe Troestler

We consider the existence of solutions for nonlinear Schr\"odinger equations on noncompact metric graphs with localized nonlinearities. In an $L^2$-supercritical regime, we establish the existence of infinitely many solutions for any prescribed mass.

Discrete and Continuous Dynamical Systems - Series A, 2025, Special issue on normalized solutions of nonlinear Schrődinger equations & beyond, 53, pp.82-105. ⟨10.3934/dcds.2025085⟩. ⟨hal-04590083⟩

• Thèse

Some Optimal Control Problems for Additive Manufacturing of Ceramics, Quelques problèmes de contrôle optimal pour la fabrication additive de la céramique

Hiba Hmede

Additive manufacturing using laser fusion on metal oxide powder beds, such as alumina (Al₂O₃) and aluminum titanate (Al₂TiO₅), has improved notably in recent years. This process now allows the fabrication of complex structures across various fields, particularly in physics and engineering. This…, La fabrication additive par fusion laser sur des lits de poudre d'oxyde métallique, comme l'alumine (Al₂O₃) et le titanate d'aluminium (Al₂TiO₅), s'est considérablement améliorée ces dernières années. Ce procédé permet aujourd'hui la fabrication de structures complexes dans…

Polymers. Université Polytechnique Hauts-de-France; Université Libanaise, 2025. English. ⟨NNT : 2025UPHF0011⟩. ⟨tel-05651363v2⟩

• Communication dans un congrès

Synthesis of Doped Biphasic Calcium Phosphate for bone substitutes applications.

Vincent Gillet, Marie Lasgorceix, Florian Jean, Anne Leriche, Stephane Hocquet

Among the synthetic bone substitutes commonly used in medicine, two types of calcium phosphates are primarily employed: β-tricalcium phosphate (β-TCP, β-Ca₃(PO₄)₂) and hydroxyapatite (HA, Ca₁₀(PO₄)₆(OH)₂). The choice of biomaterial depends on the type of surgical procedure being considered, due to…

• Pré-publication, Document de travail

Analysis of a one dimensional energy dissipating free boundary model with nonlinear boundary conditions. Existence of weak solutions

Benoît Merlet, Juliette Venel, Antoine Zurek

This work is part of a general study on the long-term safety of the geological repository of nuclear wastes. A diffusion equation with a moving free boundary in one dimension is introduced and studied. The model describes some mechanisms involved in corrosion processes at the surface of carbon…

2025. ⟨hal-03888607v3⟩

• Article dans une revue

Effects of La2O3 on structure and mechanical properties of sodium borosilicate glass

Meriem Ben Zennou, Ahmed Bachar, Meriem Chrifi Alaoui, Frédéric Jenot, Rachid Amrousse, Aurélien Canizares, Yann Vaills, Stuart Hampshire, Mohamed Rguiti, Assia Mabrouk

To develop rare-earth-doped borosilicate glasses with enhanced mechanical properties, lanthanum sodium borosilicate glasses were successfully synthesized using a fusion method. The glass composition was (mol.%): 55SiO2 - 25B2O3 – (20-x)Na2O - xLa2O3 (x = 1, 2, 3, 4, and 5). The primary aim was to…

Ceramics International, 2025, ⟨10.1016/j.ceramint.2025.05.337⟩. ⟨hal-05148570⟩

• Article dans une revue

Numerical Simulation and Experimental Verification of Mechanical Displacements in Piezoelectric Transformer

Faiza Boukazouha, Guylaine Poulin-Vittrant, Mohamed Rguiti, Marc Lethiecq

Abstract Since its invention, piezoelectric transformers (PTs) have been extensively studied and its performances have been continuously improved. Nowadays, such devices are designed in sophisticated architectures with associated models describing their behavior quite accurately. However, the…

Advanced Theory and Simulations, 2025, 8 (8), pp.2401232. ⟨10.1002/adts.202401232⟩. ⟨hal-05285962⟩