On the hydro-dynamic limit of ginzburg-landau wave vortices

Fanghua Lin, Ping Zhang

Research output: Chapter in Book/Report/Conference proceedingChapter


In this paper, we study the hydro-dynamic limit of the finite Ginzburg-Landau wave vortices, which was established in [6]. We prove here that the densities approximated by the vortex blob method associated with the Ginzburg-Landau wave vortices tend to the solutions of the pressure-less compressible Euler-Poisson equations before the formation of singularities in the limit system as the blob sizes and the grid sizes tend to zero in appropriate rates.

Original languageEnglish (US)
Title of host publicationGinzburg-landau Vortices
PublisherWorld Scientific Publishing Co.
Number of pages7
ISBN (Electronic)9789812701183
StatePublished - Jan 1 2005

ASJC Scopus subject areas

  • General Mathematics


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