Flows of non-Lipschitzian vector fields and Navier-Stokes equations. (Flot de champs de vecteurs non lipschitziens et équations de Navier-Stokes.) (French) Zbl 0878.35089

The authors study the existence of a vector field solution of the Navier-Stokes equations for an incompressible fluid. Properties of regularity and uniqueness are also studied. Moreover, the authors prove a generalization of an Osgood’s theorem.


35Q30 Navier-Stokes equations
76D05 Navier-Stokes equations for incompressible viscous fluids
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