Vortices for the nonlinear wave equation
Journal
Discrete and Continuous Dynamical Systems
Journal Volume
5
Journal Issue
2
Pages
391-398
Date Issued
1999
Author(s)
Lin, T.-C.
Abstract
We derive the governing equations of vortices for the nonlinear wave equation. The initial data is a small perturbation of the symmetric vortex solution in the steady state Ginzburg-Landau equation. Then by the well-posedness of the nonlinear wave equation (cf. [12]) and the spectrum of the linearized operator for the Ginzburg-Landau equation (cf. [9], [8]), we obtain the local dynamic laws of vortices in a short time.
Type
journal article