  In recent work we have developed a renormalization framework for stabilizing
reduced order models for time-dependent partial differential equations. We have
applied this framework to the open problem of finite-time singularity formation
(blow-up) for the 3D Euler equations of incompressible fluid flow. The
renormalized coefficients in the reduced order models decay algebraically with
time and resolution. Our results for the behavior of the solutions are
consistent with the formation of a finite-time singularity.
