GoKawiilTerence Tao constructs a Navier-Stokes variant that blows up in finite time
Terence Tao posted a paper showing that a modified, 'averaged' version of the three-dimensional Navier-Stokes equations can develop a finite-time singularity, even though this modified equation preserves the same energy identity and function-space bounds as the real equations. Earlier blowup examples for Navier-Stokes-like systems either lacked the energy identity or required five or more dimensions; Tao's construction is the first to combine three dimensions, the energy identity, and finite-time blowup.