Stationary internal waves in a two-dimensional aquarium at low viscosity
Abstract
We prove the uniform solvability of a stationary problem associated to internal waves equation with small viscosity in a two dimensional aquarium with real-analytic boundary, under a Morse--Smale dynamical assumption. This is achieved by using complex deformations of the aquarium, on which the inviscid stationary internal wave operator is invertible.
Fields of Study & Subjects
Navier-Stokes equation solutions
Advanced Mathematical Physics Problems
Differential Equations and Boundary Problems
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 12 January 2026
- Language
- EN
- Document type
- Preprint