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Statistical properties of solutions to the Navier-Stokes equation in the limit of vanishing viscosity

W Liao

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Presents a new approach to the Navier-Stokes turbulence. With the Gaussian soft constraint on the Navier-Stokes equation, the author derives the energy spectrum to be E(k) approximately k-3 and k-2 in two and three spatial dimensions respectively. The possible future developments are also pointed out.


PACS

47.10.ad Navier-Stokes equations

47.27.Gs Isotropic turbulence; homogeneous turbulence

47.27.eb Statistical theories and models

MSC

76D06 Statistical solutions of Navier-Stokes and related equations (See also 60H30, 76M35)

76F05 Isotropic turbulence; homogeneous turbulence

Subjects

Fluid dynamics

Mathematical physics

Dates

Issue 15 (7 August 1989)



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