The Spectrum of a linearized 2D Euler operator

Simple item page
dc.creatorLatushkin, Y.
dc.creatorLi, Y.
dc.creatorStanislavova, M.
dc.date2001-07-17
dc.date.accessioned2026-07-07T04:42:38Z
dc.date.available2026-07-07T04:42:38Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0107125
dc.identifierhttp://arxiv.org/abs/math/0107125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61867
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.titleThe Spectrum of a linearized 2D Euler operator
dc.typetext

Files

Collections

arXiv