Characteristic determinants for a second order difference equation on the half-line arising in hydrodynamics
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911863104602112 |
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| author | Latushkin, Yuri Vasudevan, Shibi |
| author_facet | Latushkin, Yuri Vasudevan, Shibi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01135 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Characteristic determinants for a second order difference equation on the half-line arising in hydrodynamics Latushkin, Yuri Vasudevan, Shibi Spectral Theory Mathematical Physics Analysis of PDEs 35Q31, 76E05, 47A10, 40A15, 35Q35, 35B35, 35P99, 47B36, 47G10, 34L40 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. |
| title | Characteristic determinants for a second order difference equation on the half-line arising in hydrodynamics |
| topic | Spectral Theory Mathematical Physics Analysis of PDEs 35Q31, 76E05, 47A10, 40A15, 35Q35, 35B35, 35P99, 47B36, 47G10, 34L40 |
| url | https://arxiv.org/abs/2405.01135 |