On the hydrodynamic limit of Ginzburg-Landau vortices

Fanghua Lin; Ping Zhang

doi:10.3934/dcds.2000.6.121

On the hydrodynamic limit of Ginzburg-Landau vortices

Fanghua Lin, Ping Zhang

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	121-142
Number of pages	22
Journal	Discrete and Continuous Dynamical Systems
Volume	6
Issue number	1
DOIs	https://doi.org/10.3934/dcds.2000.6.121
State	Published - 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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10.3934/dcds.2000.6.121

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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.",

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KW - Hydrodynamics

KW - Point vortex method

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On the hydrodynamic limit of Ginzburg-Landau vortices

Abstract

Keywords

ASJC Scopus subject areas

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