The Essential Spectrum of the Linearized 2D Euler Operator is a Vertical Band
Mathematical Physics
2007-05-23 v1 math.MP
Spectral Theory
Abstract
We prove that the essential spectrum of the operator obtained by linearization about a steady state of the Euler equations governing the motion of inviscid ideal fluid in dimension two is a vertical strip whose width is determined by the maximal Lyapunov exponent of the flow induced by the steady state.
Cite
@article{arxiv.math-ph/0306027,
title = {The Essential Spectrum of the Linearized 2D Euler Operator is a Vertical Band},
author = {Roman Shvidkoy and Yuri Latushkin},
journal= {arXiv preprint arXiv:math-ph/0306027},
year = {2007}
}
Comments
6 pages