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Existence and isoperimetric characterization of steady spherical vortex rings in a uniform flow in R-N


Reference:

Burton, G. R. and Preciso, L., 2004. Existence and isoperimetric characterization of steady spherical vortex rings in a uniform flow in R-N. Proceedings of the Royal Society of Edinburgh Section A - Mathematics, 134, pp. 449-476.

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Abstract

We study a boundary-value problem for a particular semilinear elliptic equation on R-n (n greater than or equal to 2), whose solutions represent generalized stream functions for steady axisymmetric ideal fluid flows. Solutions are shown to exist that generalize those already known in dimensions 2 and 3. An isoperimetric characterization is given for our solutions, which represent generalized spherical vortex-rings. As a corollary, a sharp Sobolev-type inequality is obtained.

Details

Item Type Articles
CreatorsBurton, G. R.and Preciso, L.
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code7261
Additional InformationID number: ISI:000222878500002

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