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FIELD Math: CMC
DATE October 13 (Fri), 2017
TIME 16:00-17:30
PLACE 8309
SPEAKER Rodriguez, Casey
HOST Oh, Sung-Jin
INSTITUTE MIT
TITLE [CMC Seminar] Stability properties of solitons for a semilinear Skyrme equation
ABSTRACT

In this talk we consider a generalization of energy super-critical wave maps which were introduced by Adkins and Nappi as an alternative to Skyrme wave maps. These are corotational maps from 1+3 dimensional Minksowski space into the 3-sphere which satisfy a certain semi-linear geometric wave equation. Each finite energy Adkins-Nappi wave map has a fixed topological degree n which is an integer. We will discuss recent joint work with Andrew Lawrie in which we prove that for each n ∈ N ∪ {0}, there exists a unique, nonlinearly stable Adkins-Nappi harmonic map Q_n (a stationary solution) with degree n. Moreover we have the following conditional large data result: any Adkins-Nappi wave map of degree n whose critical norm is bounded on its interval of existence must be global and scatter to Q_n as t → ±∞.

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