Dynamics for the corotational energy-critical wave map equation with quantized blow-up rates

Ze Li, Yezhou Yi, Lifeng Zhao

We consider the wave maps from ${\mathbb{R}}^{1+2}$ into ${\mathbb{S}}^2\subset {\mathbb{R}}^3.$ Under an additional assumption of $k$-corotational symmetry, the problem reduces to the o…