Existence of energy minimizing vortices attached to a flat-top seamount
2007 (English)In: Nonlinear Analysis: Real World Applications, ISSN 1468-1218, Vol. 8, 288-294 p.Article in journal (Refereed) Published
The existence of an energy minimizer relative to a class of
rearrangements of a given function is proved. The minimizers are stationary and stable solutions of the two-dimensional barotropic vorticity equation, governing the evolution of geophysical flow over a surface of variable height. The theorem proved implies the existence of a family of stable anticyclonic vortices with cyclonic potential vorticity over a seamount, and a corresponding family of cyclonic vortices with anticyclonic potential vorticity over a localized depression. The seamount is described by a characteristic function (corresponding to a flat top) with arbitrary shape.
Place, publisher, year, edition, pages
2007. Vol. 8, 288-294 p.
rearrangements, vortices, variational problem, semilinear elliptic equation, barotropic vorticity equation
IdentifiersURN: urn:nbn:se:su:diva-21936DOI: doi:10.1016/j.nonrwa.2005.07.005ISI: 000242267600023OAI: oai:DiVA.org:su-21936DiVA: diva2:188463