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Global well-posedness and scattering for Skyrme wave maps

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  • We study equivariant solutions for two models ([13]-[15], [1]) arising in high energy physics, which are generalizations of the wave maps theory (i.e., the classical nonlinear $\sigma$ model) in 3 + 1 dimensions. We prove global existence and scattering for small initial data in critical Sobolev-Besov spaces.
    Mathematics Subject Classification: Primary: 35L70, 81T13.


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