Sharpness conjecture for generic focusing flows

Let a focusing flow satisfy the hypotheses of the paper, and let the result in Theorem~ provide its $\epsilon^{-8}$ lifespan bound and accompanying estimates. Sharpness conjecture for generic focusing flows. The result in Theorem~ is sharp for generic focusing flows satisfying the hypotheses. The conjecture concerns optimality of the lifespan estimate; it does not apply to every focusing flow, since additional structure such as conservation of the $L^2$ norm can yield global well-posedness.