Relative equilibria of point vortices on the sphere
UNSPECIFIED. (2001) Relative equilibria of point vortices on the sphere. PHYSICA D-NONLINEAR PHENOMENA, 148 (1-2). pp. 97-135. ISSN 0167-2789Full text not available from this repository.
We prove the existence of many different symmetry types of relative equilibria for systems of identical point vortices on a non-rotating sphere. The proofs use the rotational symmetry group SO(3) and the resulting conservation laws, the time-reversing reflectional symmetries in O(3), and the finite symmetry group of permutations of identical vortices. Results include both global existence theorems and local results on bifurcations from equilibria. A more detailed study is made of relative equilibria which consist of two parallel rings with n vortices in each rotating about a common axis. The paper ends with discussions of the bifurcation diagrams for systems of 3-6 identical vortices. (C) 2001 Elsevier Science B.V. All rights reserved.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics
Q Science > QC Physics
|Journal or Publication Title:||PHYSICA D-NONLINEAR PHENOMENA|
|Publisher:||ELSEVIER SCIENCE BV|
|Date:||1 January 2001|
|Number of Pages:||39|
|Page Range:||pp. 97-135|
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