Evolution of internal waves in a 2D subcritical channel
Analysis of PDEs
2025-09-25 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
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 solutions to the stationary equations. This is done by showing a limiting absorption principle and the differentiability of the spectral measure for a zeroth order operator.
Cite
@article{arxiv.2509.20327,
title = {Evolution of internal waves in a 2D subcritical channel},
author = {Zhenhao Li and Jian Wang and Jared Wunsch},
journal= {arXiv preprint arXiv:2509.20327},
year = {2025}
}
Comments
41 pages, 4 figures. Comments are welcome!