Characteristic determinants for a second order difference equation on the half-line arising in hydrodynamics
Spectral Theory
2024-05-03 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We study the point spectrum of a second order difference operator with complex potential on the half-line via Fredholm determinants of the corresponding Birman-Schwinger operator pencils, the Evans and the Jost functions. An application is given to instability of a generalization of the Kolmogorov flow for the Euler equation of ideal fluid on the two dimensional torus.
Keywords
Cite
@article{arxiv.2405.01135,
title = {Characteristic determinants for a second order difference equation on the half-line arising in hydrodynamics},
author = {Yuri Latushkin and Shibi Vasudevan},
journal= {arXiv preprint arXiv:2405.01135},
year = {2024}
}
Comments
Continuation of the work done in arXiv:1901.01367v3 and arXiv:2401.14037;