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.
|Titolo:||Collisions and phase-vortex interactions in dissipative Ginzburg-Landau dynamics|
|Data di pubblicazione:||2005|
|Appare nelle tipologie:||01.01 Articolo in Rivista|