Dynamics of vortices for the Complex Ginzburg-Landau equation
Evelyne Miot
TL;DR
This paper investigates the behavior of vortices in a dissipative complex Ginzburg-Landau equation, deriving their asymptotic motion law in a specific regime with well-prepared vortices.
Contribution
It introduces a new analysis of vortex dynamics in the complex Ginzburg-Landau equation with dissipation, deriving an asymptotic motion law for vortices.
Findings
Derived the asymptotic motion law for vortices.
Analyzed vortex dynamics in a dissipative setting.
Extended understanding of vortex behavior in complex Ginzburg-Landau equations.
Abstract
We study a complex Ginzburg-Landau equation in the plane, which has the form of a Gross-Pitaevskii equation with some dissipation added. We focus on the regime corresponding to well-prepared unitary vortices and derive their asymptotic motion law.
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Taxonomy
TopicsNonlinear Dynamics and Pattern Formation · Fluid Dynamics and Turbulent Flows · Quantum chaos and dynamical systems