96-164 Gustafson S.
Stability of Ginzburg-Landau Vortices (27K, LaTeX) May 2, 96
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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.

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