The Essential Spectrum of the Linearized 2D Euler Operator is a Vertical Band

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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.
6 pages

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Mathematical Physics, Spectral Theory, 76E99; 37D25; 47B33; 47D99

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http://salesiana.dossiersoluciones.com/handle/123456789/57412

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0306027
 http://arxiv.org/abs/math-ph/0306027

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arXiv