%0 Journal Article
%T The Essential Spectrum of the Linearized 2D Euler Operator is a Vertical Band
%A Roman Shvidkoy
%A Yuri Latushkin
%J Mathematics
%D 2003
%I arXiv
%X 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.
%U http://arxiv.org/abs/math-ph/0306027v1