The Essential Spectrum of the Linearized 2D Euler Operator is a Vertical Band
Roman Shvidkoy, Yuri Latushkin
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.
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