Vincent Duchêne

Vincent Duchêne

Chargé de Recherche CNRS

Institut de Recherche Mathématique de Rennes

Presentation

I am a mathematician. My research is mostly devoted to the modelling and asymptotic analysis of various physical problems. A significant part of my work is concerned with oceanographic phenomena.

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

Interests
  • Partial Differential Equations
  • Asymptotic and Multiscale Analysis
  • Numerical Illustrations
  • Outreach activities
Education

  • Habilitation degree, 2021

    Université de Rennes 1

  • PhD in Applied Mathematics, 2011

    École Normale Supérieure de Paris

Blog Posts

The Kakinuma model
The Kakinuma model. Higher order models for interfacial gravity waves.
Vincent Duchêne
Jan 4, 2023 5 min read
The Isobe-Kakinuma model
The Isobe-Kakinuma model. Higher order models for surface gravity waves.
Vincent Duchêne
Jan 3, 2023 7 min read
WaterWaves1D.jl
A package for the numerical simulation of water waves models
Vincent Duchêne
Jun 27, 2022 5 min read
On the hydrostatic limit
of stably stratified fluids with isopycnal diffusivity
Vincent Duchêne
Jun 2, 2022 3 min read
On WW2
Rectifying a deep water waves model
Vincent Duchêne
Mar 7, 2022 3 min read
See all posts

Publications

and preprints

Mahieddine Adim, Roberta Bianchini, Vincent Duchêne (2024). On the hydrostatic limit of stably stratified fluids with isopycnal diffusivity. ArXiv preprint.

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Roberta Bianchini, Vincent Duchêne (2024). On the hydrostatic limit of stably stratified fluids with isopycnal diffusivity. To appear in Comm. Partial Differential Equations.

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Vincent Duchêne, Benjamin Melinand (2024). Rectification of a deep water model for surface gravity waves. Pure Appl. Anal..

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Vincent Duchêne, Tatsuo Iguchi (2024). A mathematical analysis of the Kakinuma model for interfacial gravity waves. Part II. Proc. Roy. Soc. Edinburgh Sect. A.

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Vincent Duchêne, Tatsuo Iguchi (2023). A mathematical analysis of the Kakinuma model for interfacial gravity waves. Part I.. Ann. Inst. H. Poincaré Anal. Non Linéaire.

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See all publications

Selected Talks

with available slides

Stabilité des écoulements cisaillés pour les équations d’Euler hydrostatiques avec densité stratifiée
Mar. 2024 — Groupe de travail “MathsInFluids”, Lyon.

On the inviscid and non-diffusive primitive equations with Gent and McWilliams parametrization
Jan. 2024 — Seminar of the DFG Research Unit FOR 5528.

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.


SEE ALL SELECTED TALKS >

Miscellaneous

  • 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.

Contact