Chang-Shou Lin, Gabriella Tarantello, Yisong Yang. Solutions to the Master Equations Governing Fractional Vortices
Submitted on: Aug 30, 2012, 09:09:22
Natural Sciences / Physics / Mathematical Physics
Description: By means of variational methods, in this paper, we establish sharp existence results for solutions of the master equations governing 'fractional multiple vortices.' In the doubly periodic situation, the conditions for existence are both necessary and sufficient and give the upper bounds for the vortex numbers in terms of the size of the periodic cell domain. In the planar situation, there is no restriction on the vortex numbers. In both situations, the solutions are uniquely determined by the prescribed locations and the local winding numbers of the vortices.
The abstract of this article will be published in the August 2012 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.
The Library and Archives Canada reference page: collectionscanada.gc.ca/ourl/res.php?url_ver=Z39.88......
To read the article posted on Intellectual Archive web site please click the link below.