3 papers
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…
math.AP2018
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…