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Existence of energy maximizing vortices in a three-dimensionalquasigeostrophic shear flow with bounded height
University of Tabriz, Dept. of Mathematics.
Stockholm University, Faculty of Science, Department of Meteorology .
University of Tabriz, Dept. of Mathematics.
2010 (English)In: Nonlinear Analysis, ISSN 1468-1218, Vol. 11, no 3, 1589-1599 p.Article in journal (Refereed) Published
Abstract [en]

The existence of an energy maximizer relative to a class of rearrangements of agiven function is proved. The maximizers are stationary and stable solutions of thequasigeostrophic equation, which governs the time evolution of large-scale threedimensionalgeophysical flow in a vertically bounded domain. The background flow isunidirectional, with linear horizontal shear. The theorem proved implies the existence of afamily of stationary and stable vortices that rotate in the same direction as the backgroundshear. It extends an earlier theorem by Burton and Nycander, which is valid for a verticallyunbounded domain.

Place, publisher, year, edition, pages
Elsevier , 2010. Vol. 11, no 3, 1589-1599 p.
Keyword [en]
rearrangements, vortices, variational problems, quasigeostrophy
National Category
Mathematical Analysis
Research subject
URN: urn:nbn:se:su:diva-49861DOI: 10.1016/j.nonrwa.2009.03.013ISI: 000278768800035OAI: diva2:379860
authorCount :3Available from: 2010-12-20 Created: 2010-12-20 Last updated: 2010-12-21Bibliographically approved

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