Stationary internal waves in a two-dimensional aquarium at low viscosity

Malo Jézéquel; Jian Wang

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arXiv · 2601.07391

Stationary internal waves in a two-dimensional aquarium at low viscosity

Malo Jézéquel·Jian Wang

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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.

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Malo Jézéquel, Jian Wang. 2026-01-12. Stationary internal waves in a two-dimensional aquarium at low viscosity. https://arxiv.org/abs/2601.07391

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