Publicaciones

• 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, 127 (1). ⟨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, 2026, 12 (43-73). ⟨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⟩

• Pré-publication, Document de travail

Mathematical modeling of iron oxidation in aqueous environment: when kinetics meets thermodynamics

Christian Bataillon, Clément Cancès, Claire Chainais-Hillairet, Federica Raimondi, Juliette Venel

We propose a one-dimensional model for the evolution at mesoscopic scale of a magnetite/maghemite oxide layer at the surface of iron metal set in an aqueous environment. The model takes into account the convection and diffusion of three charge carriers -iron cations, electrons in the conduction...

2026. ⟨hal-05563753⟩

• 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; Université de Mons (Belgique), 2025. English. ⟨NNT : 2025UPHF0028⟩. ⟨tel-05471636⟩

• Communication dans un congrès

Additive manufacturing preparation of catalyst supports for the conversion of bio-sourced molecules

Meryem Mounaj, Yannick Lorgouilloux, Florian Jean, Jérémy Dhainaut, Christian Courtois

NETPORE 2025, Sep 2025, Tarragona, Spain. ⟨hal-05537653⟩

• Article dans une revue

Carleman-Based Reconstruction Algorithm on a wave Network

Lucie Baudouin, Maya de Buhan, Emmanuelle Crépeau, Julie Valein

In the context of a network of vibrating strings, modelled by interconnected linear partial differential equations, we are interested in the reconstruction of a zeroth order term of each one-dimensional wave equation involved, using some appropriate external boundary measurements. More precisely,...

Mathematics of Control, Signals, and Systems, 2025, 37, pp.621-660. ⟨10.1007/s00498-025-00413-z⟩. ⟨hal-04361363⟩