Thomas Alazard - The water-wave equations in Eulerian coordinates 1 - Archive ouverte HAL
Vidéo Année : 2023

Thomas Alazard - The water-wave equations in Eulerian coordinates 1

Afficher 

Thomas Alazard
Fanny Bastien

Résumé

These lectures are based on a point of view introduced by Walter Craig, Catherine Sulem and Vladimir Zakharov, which consists in studying the water-wave equations in Eulerian coordinates, using the Dirichlet to Neumann operator. I will present the equations and explain how to study the Dirichlet to Neumann operator using different techniques: either global with the method of multipliers, or microlocal using paradifferential operators. Applications will be given to different topics: study of the Cauchy problem, equipartition of energy, control theory and to other free boundary problems.

Dates et versions

hal-04712385 , version 1 (27-09-2024)

Licence

Identifiants

  • HAL Id : hal-04712385 , version 1

Citer

Thomas Alazard, Fanny Bastien. Thomas Alazard - The water-wave equations in Eulerian coordinates 1. 2023. ⟨hal-04712385⟩
0 Consultations
0 Téléchargements

Partager

More