In this paper we describe a natural framework for the vortex dynamics in the parabolic complex Ginzburg-Landau equation in R2. This general setting does not rely on any assumption of well-preparedness and has the advantage to be valid even after collision times. We analyze carefully collisions leading to annihilation. A new phenomenon is identified, the phase-vortex interaction, related to persistence of low frequency oscillations, and leading to an unexpected drift in the motion of vortices.
Collisions and phase-vortex interactions in dissipative Ginzburg-Landau dynamics
ORLANDI, Giandomenico;
2005-01-01
Abstract
In this paper we describe a natural framework for the vortex dynamics in the parabolic complex Ginzburg-Landau equation in R2. This general setting does not rely on any assumption of well-preparedness and has the advantage to be valid even after collision times. We analyze carefully collisions leading to annihilation. A new phenomenon is identified, the phase-vortex interaction, related to persistence of low frequency oscillations, and leading to an unexpected drift in the motion of vortices.
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