### 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 |

State | Published - Jun 1999 |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Communications on Pure and Applied Mathematics*,

*52*(6), 737-761.

**Vortex dynamics for the nonlinear wave equation.** / Lin, Fang-Hua.

Research output: Contribution to journal › Article

*Communications on Pure and Applied Mathematics*, vol. 52, no. 6, pp. 737-761.

}

TY - JOUR

T1 - Vortex dynamics for the nonlinear wave equation

AU - Lin, Fang-Hua

PY - 1999/6

Y1 - 1999/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0033458658&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033458658&partnerID=8YFLogxK

M3 - Article

VL - 52

SP - 737

EP - 761

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

SN - 0010-3640

IS - 6

ER -