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dc.contributor.authorMontgomery-Smith, Stephen, 1963-eng
dc.contributor.authorChicone, Carmen Charleseng
dc.contributor.authorLatushkin, Yuri, 1956-eng
dc.date.issued2011eng
dc.descriptionThe final version of this paper appears in: "Communications in Mathematical Physics" 173 (1995): 379-400. Print.eng
dc.description.abstractThe spectrum of the kinematic dynamo operator for an ideally conducting fluid and the spectrum of the corresponding group acting in the space of continuous divergence free vector fields on a compact Riemannian manifold are described. We prove that the spectrum of the kinematic dynamo operator is exactly one vertical strip whose boundaries can be determined in terms of the Lyapunov-Oseledets exponents with respect to all ergodic measures for the Eulerian flow. Also, we prove that the spectrum of the corresponding group is obtained from the spectrum of its generator by exponentiation. In particular, the growth bound for the group coincides with the spectral bound for the generator.eng
dc.identifier.urihttp://hdl.handle.net/10355/9703eng
dc.relation.ispartofMathematics publications (MU)eng
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. College of Arts and Sciences. Department of Mathematicseng
dc.subjectSpectral mapping theoremeng
dc.subjectRiemannian manifoldeng
dc.subject.lcshBanach spaceseng
dc.titleThe spectrum of the kinematic dynamo operator for an ideally conducting fluideng
dc.typePreprinteng


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