Publications

Do irrotational water waves remain irrotational?

with Emmanuel Dormy
Proc. Roy. Soc. A 482 (2329) (2026)

Viscous breaking waves and the limit of vanishing viscosity

with Emmanuel Dormy
J. Fluid Mech. 984:R5 (2024)

Slides from presentations

Are water waves really irrotational?

Department of Applied Mathematics and Theoretical Physics • Cambridge, UK • 26/11/2025

Numerical methods for water waves and the vanishing viscosity limit

Institut de Recherche Mathématique de Rennes • 13/11/2025

Breaking Water Waves and the limit of vanishing viscosity

Institut Jean le Rond ∂'Alembert • 30/09/2025

Breaking Water Waves • Ph.D. Thesis defence

Département de Mathématiques et Applications, École Normale Supérieure - PSL • 09/09/2025

On the vanishing viscosity limit in Water Waves

CIMAV 2025 - Aussois (Savoie) • 12/05/2024

Solving the lagrangian free-surface Navier-Stokes equations using FreeFEM

16th FreeFEM days - Sorbonne Université • 13/12/2024

Effects of Viscosity on (Breaking) Water Waves

19èmes Journées de l'Hydrodynamique - École Centrale Nantes • 26/11/2024

Numerical Study of the Vanishing Viscosity Limit in (Breaking) Water Waves

EFDC1 2024 - European Fluid Dynamics Conference - Aachen (DE) • 17/09/2024

Numerical methods for the free-surface Navier-Stokes eq. and Breaking Water Waves

CANUM 2024 - Mini-symposium modélisation, méthodes numériques et applications en océcanographie • 29/05/2024

Effects of viscosity on Water Waves

Séminaire doctoral du LAMFA - Université Picardie Jules Verne • 22/05/2024

Vagues déferlantes et viscosité

Séminaire doctoral du DMA - ENS • 28/02/2024

Breaking Water Waves: Mathematical description and new numerical results

Séminaire EDPs2 - Université Savoie Mont Blanc • 26/01/2024

A numerical study of Viscous Breaking Water Waves in the High Reynolds number limit

GdR MathGeoPhy - Conférence Jeunes - Université de Picardie Jules Verne • 17/11/2023

Posters

Breaking Water Waves: Finite element analysis and high Reynolds number limit

WISE meeting 2024 - IESC - Cargèse • 22/04/2024

Breaking Water Waves: A numerical study with viscosity

ANR Bourgeons - Sorbonne Université - Paris • 08/01/2024

A numerical study of Viscous Breaking Water Waves in the High Reynolds number limit

Second Mathematical Fluid Dynamics summer school - IESC - Cargèse • 20/06/2023 - 30/06/2023

Where is my office?

Email

alan.riquier@normalesup.org

Office

The Fields Institute for Research in Mathematical Sciences
222 College Street
Toronto, Ontario
M5T 3J1, Canada