Characteristic determinants for a second order difference equation on the half-line arising in hydrodynamics

Yuri Latushkin; Shibi Vasudevan

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arXiv · 2405.01135

Characteristic determinants for a second order difference equation on the half-line arising in hydrodynamics

Yuri Latushkin·Shibi Vasudevan

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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.

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BibTeX RIS

Yuri Latushkin, Shibi Vasudevan. 2024-05-02. Characteristic determinants for a second order difference equation on the half-line arising in hydrodynamics. https://arxiv.org/abs/2405.01135

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