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Characteristic determinants for a second order difference equation on the half-line arising in hydrodynamics (2405.01135v1)
Published 2 May 2024 in math.SP, math-ph, math.AP, and 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.
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