Using the Maxwell-Higgs model we prove that linearly unstable symmetric vortices in the Ginzburg-Landau theory are dynamically unstable in the norm (which is the natural norm for the problem).
Cite this article
Luís Almeida, Yan Guo, Dynamical instability of symmetric vortices. Rev. Mat. Iberoam. 17 (2001), no. 2, pp. 409–419