  We construct a new class of asymptotically self-similar finite-time blowups
that have two collapsing spatial scales for the 1D Constantin-Lax-Majda model.
The larger spatial scale measures the decreasing distance between the bulk of
the solution and the eventual blowup point, while the smaller scale measures
the shrinking size of the bulk of the solution. Similar multi-scale blowup
phenomena have recently been discovered for many higher dimensional equations.
Our study may provide some understanding of the common mechanism behind these
multi-scale blowups.
