Vortex dynamics for the nonlinear wave equation

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)737-761
Number of pages25
JournalCommunications on Pure and Applied Mathematics
Volume52
Issue number6
DOIs
StatePublished - Jun 1999

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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