On the hydrodynamic limit of Ginzburg-Landau vortices

Fanghua Lin, Ping Zhang

Research output: Contribution to journalArticlepeer-review

Abstract

Here we started with the dynamical law for finitely many Ginzburg-Landau vortices which was proved in [LX]. Then use the point vortex method (and the earlier vortex-method) for incompressible Euler equations in 2-D to rigorously establish the hydrodynamic limit for such finite vortices dynamics. We finally establish various existence and uniqueness of global dissipative solutions to the hydrodynamic limiting equations.

Original languageEnglish (US)
Pages (from-to)121-142
Number of pages22
JournalDiscrete and Continuous Dynamical Systems
Volume6
Issue number1
DOIs
StatePublished - 2000

Keywords

  • Dissipative solutions
  • Ginzburg-Landau vortices
  • Hydrodynamics
  • Point vortex method

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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