arXiv Open Access 2023

Internal waves in 2D domains with ergodic classical dynamics

Yves Colin de Verdière Zhenhao Li

Lihat Sumber

Abstrak

We study a model of internal waves in an effectively 2D aquarium under periodic forcing. In the case when the underlying classical dynamics has sufficiently irrational rotation number, we prove that the energy of the internal waves remains bounded. This involves studying the spectrum of a related 0-th order pseudodifferential operator at spectral parameters corresponding to such dynamics. For the special cases of rectangular and elliptic domains, we give an explicit spectral description of that operator.

Topik & Kata Kunci

math.AP math-ph math.SP

Penulis (2)

Yves Colin de Verdière

Zhenhao Li

Format Sitasi

APA MLA BibTeX

Verdière, Y.C.d., Li, Z. (2023). Internal waves in 2D domains with ergodic classical dynamics. https://arxiv.org/abs/2306.13834

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓