Gustafson S.
Stability of Ginzburg-Landau Vortices
(27K, LaTeX)
ABSTRACT. We consider the question of stability of time-independent vortex
solutions of two evolution equations of Ginzburg-Landau type:
the nonlinear heat equation, and the nonlinear Schrodinger
equation. For the heat equation, we show that n-vortex
solutions are stable under real, radially symmetric,
but not necessarily small perturbations.
For the Schr\"odinger equation, we set up basic equations for
analysis of asymptotic stability.