On the hydrodynamic limit of Ginzburg-Landau vortices

Fang-Hua Lin, Ping Zhang

Research output: Contribution to journalArticle

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
StatePublished - 2000

Fingerprint

Vortex Method
Hydrodynamic Limit
Ginzburg-Landau
Vortex
Vortex flow
Hydrodynamics
Limiting Equations
Vortex Dynamics
Incompressible Euler Equations
Point Vortex
Hydrodynamic Equations
Existence and Uniqueness
Euler equations

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

Cite this

On the hydrodynamic limit of Ginzburg-Landau vortices. / Lin, Fang-Hua; Zhang, Ping.

In: Discrete and Continuous Dynamical Systems, Vol. 6, No. 1, 2000, p. 121-142.

Research output: Contribution to journalArticle

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