 96164 Gustafson S.
 Stability of GinzburgLandau Vortices
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May 2, 96

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Abstract. We consider the question of stability of timeindependent vortex
solutions of two evolution equations of GinzburgLandau type:
the nonlinear heat equation, and the nonlinear Schrodinger
equation. For the heat equation, we show that nvortex
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.
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96164.tex