Professeur à l'Université de Picardie Jules Verne, membre du LAMFA CNRS UMR 7352
Membre associé de l'Unité de mathématiques pures et appliquées CNRS UMR 5669 ENS de Lyon

Porteur du projet ANR VPFlows (2021-2026) : web site

Responsable de l'Axe (ex. GdR) "Géophysique et risques naturels" du Réseau Thématique CNRS "Terre & Énergies" : web site (création le 1.1.2024)

Responsable de l'équipe d'Analyse Appliquée du LAMFA

Responsabilités récentes :
2022-2023 : Directeur du GdR CNRS MathGeoPhy (web site) du 1.1.2022 au 31.12.2023. Artisan de la création du RT "Terre & Énergies" avec A. Ern et N. Seguin en 2023, suite à la fusion des GdRs en RT par le CNRS Mathématiques.
2021-2022 : Lyon ED Info-Math: Conseil et Commission des thèses (~340 doctorants)
2019-2021 : Co-Responsable Scientifique du GdR CNRS EGRIN et mission de construction de MathGeoPhy
2019-2021 : Responsable du Master 1 de mathématiques, ENS de Lyon (2 ans de Covid : compte double)

Brief bio

I am a full professor of mathematics at Université de Picardie, Amiens, since Sept 2022. I was Associate Professor at the École Normale Supérieure de Lyon between 2008 and 2022, at the UMPA.

My research is dedicated to numerical analysis of PDE's, scientific computing and simulation in fluid mechanics and medicine.

In The Gallery ⛏▝

Viscoplastic fluids: avalanches, free surfaces. Here, test of an avalanche in the Taconnaz path, Chamonix - Mont-Blanc: Movie link on HAL (if not compatible with current web browser, it can be downloaded and viewed with ad hoc movie player) or iframe (if compatible, e.g. with chrome browser):

We use specially designed duality and well-balanced finite volume schemes (Paper, to be read with this one too).

Viscoplastic fluids: Bingham model with duality methods, like Augmented Lagrangian (no regularisation)

HPC (MUMPS-MPI) for highly resolved yield interface in expansion-contraction (Paper) ...

... and its use for boundary layers in cavities, Oldroyd theory revisited (Paper):

Numerical modelling in Medicine:

We blend a wide spectrum of methods to deal with data of our Physicians colleagues (Oncologists, etc). It includes:

Craniofacial Suture digitation at early stage - Mechanotransduction: Model description and illustration of the instability. Assessment of the results(a-d. Simulations with FreeFem++): (b) stress (c) fibers orientation (d) mesenchymal cell density and pattern of bone deposition. Inspired by incredible 3D imaging of various specimens done at the European Synchrotron Radiation Facility (ESRF, Grenoble, France) for this study, including Polypterus bichir (last picture). Right-click to enlarge pictures. 2009-2012 Paper

Microfluidics, Level Sets and Droplet's dynamics: creation and various mixing regimes. Insight on the discretisation' stability condition for "capillary flows". 2004-2007 Paper

▝ Title of this section courtesy of Dire Straits.


Publications and Preprints

Submitted Updated references and plain texts can be found on the Open Archives Repository: HAL.

Numerical Analysis and Visco-Plastic flows PDEs and Statistics
HAL profile (publications, updated version of articles, etc), Google Scholar, IdRef : 119020149, and

Some Conferences and Workshops

References can also be found on HAL.

Invited lectures in Ph.D. programs

Ph.D. / Thèse

Paul Vigneaux, Level Set methods for free-boundary problems in Microfluidics / Méthodes Level Set pour des problèmes d'interface en microfluidique, Université Bordeaux 1, 2007. Manuscrit sur TEL.

Cadre institutionnel (de 2004 à 2007) :

Habilitation (HDR)

Contributions à des problèmes viscoplastiques et d'estimation de paramètres, ENS de Lyon, 22 Juin 2017.
Jury :
Rapporteurs : Christophe Ancey (EPFL, Suisse), Alfredo Bermúdez (U. de Santiago de Compostela, Espagne), Jean-Paul Vila (IMT & INSA, Toulouse).
Examinateurs : François Bouchut (CNRS & U. Paris-Est), Emmanuel Grenier (ENS de Lyon), Laure Saint-Raymond (ENS de Lyon).
Résumé. Manuscrit sur TEL.

Public Awareness

(Among others)

Contributions to "Images des Mathématiques" (in French).
Including a translation in French of a series of European "Success stories" of Mathematics in the Industry. These were published by a "Forward Look" of the ESF and the EMS, see here for all the details.

Contribution to the daily blog of the 2013 UNESCO "Mathematics of Planet Earth" Initiative (in French). "Neige de printemps et avalanches" (June 2013). Now part of the book "Brèves de Maths" (Nouveau Monde éditions, 2014).

Invitation to the launching of the national "Institute of Mathematics for Planet Earth" (IMPT). November 2021.

Invitation to "Soirées Mathématiques de Lyon" (SML). December 2021

Ph.D. student supervisions

(and also Ph.D. committees) listed here:

Arthur Marly defended his thesis on Sept 19th, 2018. Abstract. AGPR at ENS de Lyon (2018-2021). Professeur Agrégé, French Preparatory Classes since 2021.

Clément Berger @ UMPA - ENS de Lyon. PhD Grant élève normalien. 2021-

Colin Ginot @ INRAE. PhD Grant ANR. 2021-. Co-advised (15%) with Guillaume Chambon (INRAE Grenoble) and Pierre Philippe (INRAE Aix)

Maxime Wallon @ LAMFA - UPJV. PhD Grant ANR. 2022-. Co-advised (50%) with Pierre Saramito (LJK Grenoble)

Pei Sun @ LAMFA - UPJV. PhD Grant CNRS (MiTi project Strudel3D). 2024-. Co-advised with Alejandro Franco (LRCS) and Jean-Paul Chehab (LAMFA)


Université de Picardie Jules Verne
33, rue Saint Leu
F-80039 Amiens Cedex 1 - France

Tel : (33/0) 3 22 82 78 48

Courrier électronique :

Last updated: Jan 2024