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Stability investigation for steady solutions of the barotropic vorticity equation in R-2
Stockholm University, Faculty of Science, Department of Meteorology .
2013 (English)In: Communications in nonlinear science & numerical simulation, ISSN 1007-5704, E-ISSN 1878-7274, Vol. 18, no 3, 541-546 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, we investigate the p-norm stability for vortices of geophysical flows over a surface of variable height that are strict maximizers of the kinetic energy relative to all isovortical flows. In this note, stability means nonlinear stability in the p-norm on the space of vorticity.

Place, publisher, year, edition, pages
2013. Vol. 18, no 3, 541-546 p.
Keyword [en]
Nonlinear stability, Vortices, Rearrangements of a function, Transport equation, Barotropic vorticity equation, Energy conserving solutions
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-83827DOI: 10.1016/j.cnsns.2012.07.024ISI: 000310581400011OAI: oai:DiVA.org:su-83827DiVA: diva2:577087
Note

AuthorCount:4;

Available from: 2012-12-14 Created: 2012-12-14 Last updated: 2017-12-06Bibliographically approved

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