Generic finite-time blowup for higher-order area-preserving curvature flows

Let $m\geq0$ and $N_0\geq2$, where $N_0$ is the rotation number of the initial immersed curve. Consider the area-preserving curvature flow of order $m$. Finite-time blowup conjecture. Generic initial data lead to finite-time blowup solutions. The source motivates this from the instability of circles when $N_0\geq2$, contrasting with the expected circular behavior of immortal solutions; the genericity assertion and its precise meaning remain open.