Document Zbl 0614.76026

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Unsteady flow of a finite mass of a liquid bounded by a free surface. (Russian. English summary) Zbl 0614.76026

Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 152, 137-157 (1986).

It is proved that the initial-value problem for the Navier-Stokes equations describing the motion of a viscous incompressible liquid bounded by a free surface has the unique solution in an infinite time interval \(t>0\), if the domain occupied by the liquid is close to a ball and the velocity vector field is small at the initial moment of time.

Cited in 2 Reviews

Cited in 16 Documents

MSC:

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

Keywords:

initial-value problem; Navier-Stokes equations; viscous incompressible liquid; free surface; unique solution; infinite time interval

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