A unified approach to vortex motion laws of complex scalar field equations

F. H. Lin, J. X. Xin

Research output: Contribution to journalArticle

Abstract

In this short note, we give a unified rigorous derivation of vortex motion laws of nonlinear wave (NLW) and nonlinear heat (NLH) equations based on the fluid dynamic approach the authors recently developed in solving the nonlinear Schrödinger (NLS) equation. Hence in all three complex scalar field equations, the motion laws follow from the Euler-type equations, and the knowledge of the finite mass Radon defect measure.

Original languageEnglish (US)
Pages (from-to)455-460
Number of pages6
JournalMathematical Research Letters
Volume5
Issue number4
DOIs
StatePublished - 1998

ASJC Scopus subject areas

  • Mathematics(all)

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