 9916 S. Gustafson, I.M. Sigal
 The stability of magnetic vortices
(72K, LaTeX)
Jan 15, 99

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. We study the linearized stability of nvortex (n an integer) solutions
of the magnetic GinzburgLandau (or Abelian Higgs) equations. We prove
that the fundamental vortices (n = 1,1) are stable for all values of
the coupling constant, $\lambda$, and we prove that the higherdegree
vortices (n $\geq$ 2) are stable for $\lambda < 1$ and unstable for
$\lambda > 1$. This resolves a longstanding conjecture (see, eg,
JaffeTaubes).
 Files:
9916.src(
9916.keywords ,
paper2.tex )