  We present a variational resolution of the incompressible Navier-Stokes
system by means of stabilized Weighted-Inertia-Dissipation-Energy (WIDE)
functionals. The minimization of these parameter-dependent functionals
corresponds to an elliptic-in-time regularization of the system. By passing to
the limit in the regularization parameter along subsequences of WIDE minimizers
one recovers a classical Leray-Hopf weak solution.
