Dynamics for ginzburg-landau vortices under a mixed flow

Matthias Kurzke; Christof Melcher; Roger Moser; Daniel Spirn

doi:10.1512/iumj.2009.58.3842

Dynamics for ginzburg-landau vortices under a mixed flow

Matthias Kurzke, Christof Melcher, Roger Moser, Daniel Spirn

School of Mathematics

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

We consider a complex Ginzburg-Landau equation that contains a Schrödinger term and a damping term that is proportional to the time derivative. Given well-prepared initial conditions that correspond to quantized vortices, we establish the vortex motion law until collision time.

Original language	English (US)
Pages (from-to)	2597-2621
Number of pages	25
Journal	Indiana University Mathematics Journal
Volume	58
Issue number	6
DOIs	https://doi.org/10.1512/iumj.2009.58.3842
State	Published - 2009

Keywords

Ginzburg-landau vortices
Mixed dynamics
Vortex motion

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10.1512/iumj.2009.58.3842

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title = "Dynamics for ginzburg-landau vortices under a mixed flow",

abstract = "We consider a complex Ginzburg-Landau equation that contains a Schr{\"o}dinger term and a damping term that is proportional to the time derivative. Given well-prepared initial conditions that correspond to quantized vortices, we establish the vortex motion law until collision time.",

keywords = "Ginzburg-landau vortices, Mixed dynamics, Vortex motion",

author = "Matthias Kurzke and Christof Melcher and Roger Moser and Daniel Spirn",

year = "2009",

doi = "10.1512/iumj.2009.58.3842",

language = "English (US)",

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issn = "0022-2518",

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T1 - Dynamics for ginzburg-landau vortices under a mixed flow

AU - Kurzke, Matthias

AU - Melcher, Christof

AU - Moser, Roger

AU - Spirn, Daniel

PY - 2009

Y1 - 2009

N2 - We consider a complex Ginzburg-Landau equation that contains a Schrödinger term and a damping term that is proportional to the time derivative. Given well-prepared initial conditions that correspond to quantized vortices, we establish the vortex motion law until collision time.

AB - We consider a complex Ginzburg-Landau equation that contains a Schrödinger term and a damping term that is proportional to the time derivative. Given well-prepared initial conditions that correspond to quantized vortices, we establish the vortex motion law until collision time.

KW - Ginzburg-landau vortices

KW - Mixed dynamics

KW - Vortex motion

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JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

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ER -

Dynamics for ginzburg-landau vortices under a mixed flow

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Keywords

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