  The Skyrme model is a geometric field theory and a quasilinear modification
of the Nonlinear Sigma Model (Wave Maps). In this paper we study the
development of singularities for the equivariant Skyrme Model, in the
strong-field limit, where the restoration of scale invariance allows us to look
for self-similar blow-up behavior. After introducing the Skyrme Model and
reviewing what's known about formation of singularities in equivariant Wave
Maps, we prove the existence of smooth self-similar solutions to the
$5+1$-dimensional Skyrme Model in the strong-field limit, and use that to
conclude that the solution to the corresponding Cauchy problem blows up in
finite time, starting from a particular class of everywhere smooth initial
data.
