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