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The Faddeev model is a classical field theory that models heavy elementaryparticles by knotted topological solitons. It is a generalization of thewell-known classical nonlinear sigma model of Gell-Mann and Levy, and is alsorelated closely to the celebrated Skyrme model. The global well-posedness ofthe quasilinear PDE arising from this model has been studied intensely inrecent years, both in three and two spatial dimensions. In this paper weintroduce a proof of large-data global well-posedness of the two-dimensionalFaddeev model under the equivariant hypothesis.

Large-Data Global Well-Posedness for the (1 + 2)-Dimensional Equivariant Faddeev Model