High-Frequency Two-Dimensional Asymptotic Standing Coastal-Trapped Waves in Nearly Integrable Case

Abstract

This paper is a continuation of research started in [7] devoted to explicit asymptotic formulas for standing coastal-trapped waves. Our main goal is to construct formal asymptotic eigenfunctions of the wave operator $⟨\nabla ,D(x)\nabla ⟩$ (the spatial part of the wave operator) corresponding to the eigenvalue $\omega \to \infty$ in a nearly integrable case.

arXiv comment14 pages, 8 figures