The Spectrum of a linearized 2D Euler operator

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study the spectral properties of the linearized Euler operator obtained by linearizing the equations of incompressible two dimensional fluid at a steady state with the vorticity that contains only two nonzero complex conjugate Fourier modes. We prove that the essential spectrum coincides with the imaginary axis, and give an estimate from above for the number of isolated nonimaginary eigenvalues. In addition, we prove that the spectral mapping theorem holds for the group generated by the linearized 2D Euler operator.

Keywords

Analysis of PDEs, Mathematical Physics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/61867

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0107125
 http://arxiv.org/abs/math/0107125

Collections

arXiv