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 | |
| State | Published - 2009 |
Keywords
- Ginzburg-landau vortices
- Mixed dynamics
- Vortex motion
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