Proves global existence and uniqueness of weak solutions for a singularly perturbed Navier-Stokes system on compact manifolds and convergence to standard solutions when uniformly bounded in the perturbation parameter.
B., On the suitable weak solutions to the Navier-Stokes equatio ns in the whole space , J
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On a Singular Perturbation of the Navier-Stokes Equations
Proves global existence and uniqueness of weak solutions for a singularly perturbed Navier-Stokes system on compact manifolds and convergence to standard solutions when uniformly bounded in the perturbation parameter.