Vortex dynamics for the nonlinear wave equation

Fang Hua Lin

doi:10.1002/(SICI)1097-0312(199906)52:6<737::AID-CPA3>3.0.CO;2-Y

Vortex dynamics for the nonlinear wave equation

Fang Hua Lin

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	737-761
Number of pages	25
Journal	Communications on Pure and Applied Mathematics
Volume	52
Issue number	6
DOIs	https://doi.org/10.1002/(SICI)1097-0312(199906)52:6<737::AID-CPA3>3.0.CO;2-Y
State	Published - Jun 1999

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1002/(SICI)1097-0312(199906)52:6<737::AID-CPA3>3.0.CO;2-Y

Cite this

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Vortex dynamics for the nonlinear wave equation

Abstract

ASJC Scopus subject areas

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