Trichotomy dynamics of the 1-equivariant harmonic map flow

Juncheng Wei, Qidi Zhang, Yifu Zhou

For the 1-equivariant harmonic map flow from $R^2$ into $S^2$ \begin{equation*} \left\{ \begin{aligned} &v_t=v_{rr}+\frac{v_r}{r} - \frac{\sin(2v)}{2r^2} , ~\quad(r,t)\in R_+\time…