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dc.contributor.authorPedlosky, Joseph  Concept link
dc.date.accessioned2016-07-14T18:23:15Z
dc.date.available2016-07-14T18:23:15Z
dc.date.issued2016-01-02
dc.identifier.citationJournal of Marine Research 74 (2016): 1-19en_US
dc.identifier.urihttps://hdl.handle.net/1912/8110
dc.descriptionAuthor Posting. © Sears Foundation for Marine Research, 2016. This article is posted here by permission of Sears Foundation for Marine Research for personal use, not for redistribution. The definitive version was published in Journal of Marine Research 74 (2016): 1-19, doi:10.1357/002224016818377595.en_US
dc.description.abstractThe instability of an inviscid, baroclinic vertically sheared current of uniform potential vorticity, flowing along a uniform topographic slope, becomes linearly unstable at all wave numbers if the flow is in the direction of propagation of topographic waves. The parameter region of instability in the plane of scaled topographic slope versus wave number then extends to arbitrarily large wave numbers at large slopes. The weakly nonlinear treatment of the problem reveals the existence of a nonlinear enhancement of the instability close to one of the two boundaries of this parametrically narrow unstable region. Because the domain of instability becomes exponentially narrow for large wave numbers, it is unclear how applicable the results of the asymptotic, weakly nonlinear theory are given that it must be limited to a region of small supercriticality. This question is pursued in that parameter domain through the use of a truncated model in which the approximations of weakly nonlinear theory are avoided. This more complex model demonstrates that the linearly most unstable wave in the narrow wedge in parameter space is nonlinearly stable and that the region of nonlinear destabilization is limited to a tiny region near one of the critical curves rendering both the linear and nonlinear growth essentially negligible.en_US
dc.language.isoen_USen_US
dc.publisherSears Foundation for Marine Researchen_US
dc.relation.urihttps://doi.org/10.1357/002224016818377595
dc.subjectTopographyen_US
dc.subjectCoastalen_US
dc.subjectCoastal wavesen_US
dc.subjectNon linearen_US
dc.subjectSlopeen_US
dc.subjectWave propagationen_US
dc.subjectMost unstableen_US
dc.subjectAsymptotic theoryen_US
dc.subjectPotential vorticityen_US
dc.titleBaroclinic instability over topography : unstable at any wave numberen_US
dc.typeArticleen_US
dc.identifier.doi10.1357/002224016818377595


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