Showing math.APShow all
3 papers · 1 filter
math.AP2025
Evolution of internal waves in a 2D subcritical channel
Zhenhao Li, Jian Wang, Jared Wunsch
We study the long time evolution of internal waves in two dimensional subcritical channels with flat horizontal ends. We show the leading profiles of solutions are the outgoing sol…
math.AP2025
Internal waves in a 2D subcritical channel
Zhenhao Li, Jian Wang, Jared Wunsch
We analyze the scattering of linear internal waves in a two dimensional channel with subcritical bottom topography. We construct the scattering matrix for the internal wave problem…
math.AP2024
Internal waves in aquariums with characteristic corners
Zhenhao Li
We give a precise microlocal description of the singular profile that forms in the long-time propagation of internal waves in an effectively two-dimensional aquarium. We allow doma…