4 citations · 6 across the 5 of their papers we have counts for
5 papers
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…
Fredholm determinants, continued fractions, Jost and Evans functions for a Jacobi matrix associated with the 2D-Euler equations
Yuri Latushkin, Shibi Vasudevan
For a second order difference equation that arises in the study of stability of unidirectional (generalized Kolmogorov) flows for the Euler equations of ideal fluids on the two dim…
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…
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…
Eigenvalues of the linearized 2D Euler equations via Birman-Schwinger and Lin's operators
Yuri Latushkin, Shibi Vasudevan
We study spectral instability of steady states to the linearized 2D Euler equations on the torus written in vorticity form via certain Birman-Schwinger type operators and…