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math.SP2024
Characteristic determinants for a second order difference equation on the half-line arising in hydrodynamics
Yuri Latushkin, Shibi Vasudevan
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 p…
math.SP2020
Instability of unidirectional flows for the 2D Navier-Stokes equations and related -models
Shibi Vasudevan
We study instability of unidirectional flows for the linearized 2D Navier-Stokes equations on the torus. Unidirectional flows are steady states whose vorticity is given by Fourier…
math.SP2019
Instability of unidirectional flows for the 2D -Euler equations
Holger Dullin, Yuri Latushkin, Robert Marangell +2
We study stability of unidirectional flows for the linearized 2D -Euler equations on the torus. The unidirectional flows are steady states whose vorticity is given by Fourier mo…