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한국고등과학원 세미나 



[CMC Seminar] Stability properties of solitons for a semilinear Skyrme equation 

In this talk we consider a generalization of energy supercritical 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 3sphere which satisfy a certain semilinear geometric wave equation. Each finite energy AdkinsNappi 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 AdkinsNappi harmonic map Q_n (a stationary solution) with degree n. Moreover we have the following conditional large data result: any AdkinsNappi 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 → ±∞. 







