Revista Matemática Iberoamericana

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Volume 17, Issue 2, 2001, pp. 409–419
DOI: 10.4171/RMI/299

Published online: 2001-08-31

Dynamical instability of symmetric vortices

Luís Almeida[1] and Yan Guo[2]

(1) Université de Nice Sophia Antipolis, France
(2) Brown University, Providence, USA

Using the Maxwell-Higgs model we prove that linearly unstable symmetric vortices in the Ginzburg-Landau theory are dynamically unstable in the $H^1$ norm (which is the natural norm for the problem).

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Almeida Luís, Guo Yan: Dynamical instability of symmetric vortices. Rev. Mat. Iberoamericana 17 (2001), 409-419. doi: 10.4171/RMI/299