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Vortex dynamics for the nonlinear wave equation
Author(s) -
Lin Fang Hua
Publication year - 1999
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/(sici)1097-0312(199906)52:6<737::aid-cpa3>3.0.co;2-y
Subject(s) - vortex , nonlinear system , connection (principal bundle) , mathematics , classical mechanics , dirac (video compression format) , field (mathematics) , dynamics (music) , physics , statistical physics , quantum mechanics , mechanics , geometry , acoustics , pure mathematics , neutrino
Vortex dynamics for the nonlinear wave equation is a typical model of the “particle and field” theories of classical physics. The formal derivation of the dynamical law was done by J.Neu. He also made an interesting connection between vortex dynamics and the Dirac theory of electrons. Here we give a rigorous mathematical proof of this natural dynamical law. © 1999 John Wiley & Sons, Inc.