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Pré-publication, Document de travail

Scalable multitask Gaussian processes for complex mechanical systems with functional covariates

Razak Christophe Sabi Gninkou, Andrés F. López-Lopera, Franck Massa, Rodolphe Le Riche

Functional covariates arise in many scientific and engineering applications when model inputs take the form of time-dependent or spatially distributed profiles, such as varying boundary conditions or changing material behaviours. In addition, new practices in digital simulation require predictions…

2026. ⟨hal-05524247⟩

Article dans une revue

Equivalence between VMO functions and plurisubharmonic functions with zero Lelong numbers

Séverine Biard, Jujie Wu

<div><p>We prove that a plurisubharmonic function on a domain in the complex Euclidean space is a locally VMO (Vanishing Mean Oscillation) function if and only if its Lelong number at each point vanishes. We also give a global version of this result when the boundary of the domain…

Mathematische Zeitschrift, 2026, 312 (2), pp.60. ⟨10.1007/s00209-026-03952-6⟩. ⟨hal-05478910⟩

Article dans une revue

Experimental and DFT study of the structural, electronic, and thermoelectrical properties of Li3xLa2/3-xTiO3 (x = 0.125) ceramic leads free for battery applications

Hicham Kacimi-Naciri, Meriem Ben Zennou, Assia Mabrouk, Amine El Azizi, Mohamed Loutou, Mohammed Mansori, Rachid Amrousse, Nadia Faska, Ahmed Bachar

We synthesized Li3xLa2/3−xTiO3 (LLTO, x = 0.125) via solid-state sintering, yielding a structurally stable orthorhombic perovskite with high environmental compatibility. The resulting material was characterized experimentally through X-ray diffraction (XRD), dielectric measurements (permittivity…

Next Materials, 2026, 11, pp.101619. ⟨10.1016/j.nxmate.2026.101619⟩. ⟨hal-05488643⟩

Article dans une revue

Optimization of explicit RKN schemes to minimize spurious reflections from shock wave propagation on non-uniform grids

Emmanuel Creusé, Mamadou N'Diaye, Juliette Venel, Cédric Hubert, Nicolas Leconte

The propagation of shock waves on non-uniform grids appears, for example, in some impact problems of the fast dynamics type, where a finer mesh can typically be employed in regions of interest, leading to mesh ratios that can range from 10 to 20 or even more. Unfortunately, unwanted spurious…

International Journal for Numerical Methods in Engineering, 2026. ⟨hal-05144415v2⟩

Article dans une revue

An BD-entropy inequality preserving Finite Volume scheme for the Quantum Navier-Stokes system

Caterina Calgaro, Robin Colombier, Emmanuel Creusé

In this work, we propose a Finite-Volume scheme on cartesian grids for the numerical approximation of some solutions of the Quantum Navier-Stokes (QNS) equations. An augmented formulation is implemented by introducing an additional drift velocity v, which reduces the third-order quantum operator to…

SMAI Journal of Computational Mathematics, In press. ⟨hal-04837772v2⟩

Article dans une revue

Block-Additive Gaussian Processes under Monotonicity Constraints

Mathis Deronzier, Andrés F. López-Lopera, François Bachoc, Olivier Roustant, Jérémy Rohmer

We generalize the additive constrained Gaussian process framework to handle interactions between input variables while enforcing monotonicity constraints everywhere on the input space. The block-additive structure of the model is particularly suitable in the presence of interactions, while…

Statistics and Computing, 2026, 36 (1), pp.42. ⟨10.1007/s11222-025-10791-8⟩. ⟨hal-05441153⟩

HDR

Contributions théoriques et numériques à l'étude d'inclusions différentielles et d'équations aux dérivées partielles, Theoretical and Numerical Contributions to the Study of Differential Inclusions and Partial Differential Equations

Juliette Venel

Ce manuscrit est dédié à l'étude théorique et numérique de problèmes prenant la forme d'inclusions différentielles ou d'équations aux dérivées partielles. Le premier chapitre propose un résumé court de mes contributions avant d'en développer certaines dans la suite du mémoire.…, This manuscript is devoted to the theoretical and numerical study of problems formulated as differential inclusions or partial differential equations. The first chapter describes my contributions, some of which are then developed in detail in the rest of the manuscript. The second chapter addresses…

Equations aux dérivées partielles [math.AP]. Université Polytechnique Hauts-de-France, 2025. ⟨tel-05525952⟩

Thèse

Engineering of Antimicrobial Peptides Against Osteoarticular Infections, Développement de peptides antimicrobiens contre les infections ostéoarticulaires

Cristina Cantallops Vilà

Osteoarticular infections pose a major clinical challenge, often impairing bone healing and implant success. With up to 2 % of implants failing due to bacterial contamination—leading to poor outcomes, 11 % mortality, and high healthcare costs—there is an urgent need for biomaterials that prevent…, Les infections ostéoarticulaires représentent un défi clinique majeur, compromettant souvent la cicatrisation osseuse et le succès des implants. Jusqu’à 2 % des implants échouent en raison de contaminations bactériennes, entraînant des évolutions cliniques défavorables, un taux de mortalité moyen…

Rhumatology and musculoskeletal system. Université Polytechnique Hauts-de-France; Institut national des sciences appliquées Hauts-de-France, 2025. English. ⟨NNT : 2025UPHF0021⟩. ⟨tel-05528194⟩

Pré-publication, Document de travail

MULTIPLE SOLUTIONS AND SIMULATIONS FOR AN ION FLOW FIELD PROBLEM APPLIED TO HVDC TRANSMISSION LINES

Madeline Chauvier, Serge Nicaise, Christophe Troestler, Juliette Venel

This paper initiates a mathematical investigation of a PDE model for the transport of high voltage direct current via overhead lines. We prove the existence of infinitely many solutions, give necessary conditions for existence, explicitly compute the continuum of all radial solutions, and develop a…

2025. ⟨hal-05357732⟩

Thèse

Investigating the Cold Sintering Process of Bioactive Materials, Étude du processus de frittage à froid des matériaux bioactifs

Muthusundar Kumar

The cold sintering process (CSP) is a non-conventional sintering technique that densifies ceramic materials using a transient liquid phase under applied pressure, typically at low temperatures (< 300 °C). This processing window enables co-sintering of ceramic–polymer phases and offers unique…, Le processus de frittage à froid (CSP) est une technique de frittage non conventionnelle qui densifie les matériaux céramiques à l'aide d'une phase liquide transitoire sous pression appliquée, généralement à basse température (< 300 °C). Cette fenêtre de traitement permet le co-…

Bioengineering. Université Polytechnique Hauts-de-France; Institut national des sciences appliquées Hauts-de-France, 2025. English. ⟨NNT : 2025UPHF0028⟩. ⟨tel-05471636⟩