Vincent Duchêne

Vincent Duchêne

Chargé de Recherche CNRS

Institut de Recherche Mathématique de Rennes


I am a mathematician. My research is mostly devoted to the modelling and asymptotic study of various physical problems. A significant part of my work deals with phenomenons arising in oceanography.

My main expertise area is showcased in the memoir Many Models for Water Waves. Here is a resume.

  • Partial Differential Equations
  • Asymptotic and Multiscale Analysis
  • Numerical Illustrations
  • Outreach activities
  • Habilitation degree, 2021

    Université de Rennes 1

  • PhD in Applied Mathematics, 2011

    École Normale Supérieure de Paris

Selected Talks

with available slides

Rectifying a deep water model for water waves
Apr. 2022 — Seminar in Mathematical Analysis, EPFL, Lausanne.

The hydrostatic approximation for stratified fluids
Jan. 2022 — Programme CEA-SMAI/GAMNI, Paris.

The art of modeling water waves
July 2021 — Habilitation defense, Rennes.

Boussinesq⁠–Whitham full-dispersion systems as asymptotic models for water waves
Feb. 2020 — Fluid Dynamics seminar, Bergen.

Large-time asymptotic stability of traveling wave solutions to scalar balance laws
July 2019 — RIMS workshop, Kyoto.



  • My Habilitation, defended in 2021, led to a memoir entitled Many Models for Water Waves.

  • Lecture notes on a master class taught in 2019 and 2020 on shallow-water asymptotic models for water waves.

  • Une vidéo d’introduction aux ondes solitaires hydrodynamiques, dans le cadre des 5 minutes Lebesgue.
    On retrouve des solitons dans de simples systèmes dynamiques discrets, comme discuté dans cette nouvelle vidéo.

  • Une brève introduction au phénomène d’eaux mortes.
    A rough account on the dead-water phenomenon and my work on the subject.

  • Dissertation of my Ph.D. Thesis, defended in 2011, and entitled Internal waves in oceanography and photonic crystals: a mathematical approach.