On blowup for large data in equivariant wave maps

Let $u(t,r)$ solve the equivariant wave-map equation with initial data, and interpret sufficiently large energy as the hypothesis on the initial data. Finite-time blowup means that there is some $T>0$ such that $u_r(t,0)$ diverges as $t\nearrow T$.

On blowup for large data. For initial data with sufficiently large energy, the solutions of equation blow up in finite time in the sense that the derivative $u_r(t,0)$ diverges as $t\nearrow T$ for some $T>0$.

This conjecture formulates the numerical observation that sufficiently energetic initial data develop a singularity in finite time. The supplied text gives no rigorous result establishing or refuting it, and does not provide a theorem describing the threshold for blowup.