Publicación: DYNAMICS OF RESTRICTED THREE AND FOUR VORTICES PROBLEM ON THE PLANE
Fecha
2016
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Editor
JOURNAL OF MATHEMATICAL PHYSICS
Resumen
ABSTRACT
THE DYNAMICS OF A TEST PARTICLE (A PARTICLE WITH ZERO VORTICITY) ADVECTED BY THE VELOCITY FIELD OF N POINT-VORTICES WITH VORTICITIES ?J, ?J = 1, ?N, IS CONSIDERED. MAKING AN ANALOGY WITH SIMILAR STUDIES IN CELESTIAL MECHANICS, WE CALL SUCH A STUDY A ?RESTRICTED N-VORTEX PROBLEM? OR (N + 1)-VORTEX PROBLEM. IN PARTICULAR, WE STUDY AND CHARACTERIZE THE GLOBAL PLANAR DYNAMICS OF SOME RESTRICTED 3 AND 4-VORTEX PROBLEMS, AS A FUNCTION OF THE VORTICITIES ?J OF THE VORTICES.
