A dyadic shell model of the 3D Navier-Stokes equations exhibits finite-time blow-up from smooth initial data and forcing, with singularity formation also shown in the inviscid unforced case just above the energy level.
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Finite-time blow-up in an elementary model of the 3D Navier-Stokes equations
A dyadic shell model of the 3D Navier-Stokes equations exhibits finite-time blow-up from smooth initial data and forcing, with singularity formation also shown in the inviscid unforced case just above the energy level.