On the Hydrodynamic Limit of Ginzburg-Landau Wave Vortices

Fang-Hua Lin, Ping Zhang

Research output: Contribution to journalArticle

Abstract

In this paper, we study the hydrodynamic limit of the finite Ginzburg-Landau wave vortices, which was established in [15]. Unlike the classical vortex method for incompressible Euler equations, 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 pressureless compressible Euler-Poisson equations. The convergence of such approximation is proven before the formation of singularities in the limit system as the blob sizes and the grid sizes tend to zero at appropriate rates.

Original languageEnglish (US)
Pages (from-to)831-856
Number of pages26
JournalCommunications on Pure and Applied Mathematics
Volume55
Issue number7
DOIs
StatePublished - Jul 2002

Fingerprint

Vortex Method
Hydrodynamic Limit
Ginzburg-Landau
Vortex
Vortex flow
Hydrodynamics
Tend
Euler-Poisson Equations
Incompressible Euler Equations
Singularity
Grid
Euler equations
Poisson equation
Zero
Approximation

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

On the Hydrodynamic Limit of Ginzburg-Landau Wave Vortices. / Lin, Fang-Hua; Zhang, Ping.

In: Communications on Pure and Applied Mathematics, Vol. 55, No. 7, 07.2002, p. 831-856.

Research output: Contribution to journalArticle

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