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

Chemin, J.-Y.; Lerner, N.

J. Differ. Equations 121, No. 2, 314-328 (1995).

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.

Reviewer: T.Petrila (Cluj-Napoca)

MSC:

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

Keywords:

existence; Navier-Stokes equations; regularity; uniqueness; Osgood’s theorem