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Tuesday, May 29, 2018 - 09:45 in V2-210/216


Linear stability of the Skyrmion

A talk in the Keine Reihe series by
Roland Donninger from Universität Wien

Abstract: The Skyrme model is a relativistic field theory that arises by adding higher-order terms to the wave maps Lagrangian. This modification was proposed in order to prevent blow up and to allow for the existence of static solutions of finite energy in 3 dimensions. A particular static solution, the Skyrmion, is conjectured to be a global attractor for the nonlinear flow. We present a rigorous proof for the linear stability of the Skyrmion which is based on a mildly computer-assisted method of broad applicability. This is joint work with Matthew Creek, Wilhelm Schlag, and Stanley Snelson.



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