Some Important Concepts in Nonstandard Analysis Theory of Turbulence(The revised)

Details Some Important Concepts in Nonstandard Analysis Theory of Turbulence(The revised) Some Important Concepts in Nonstandard Analysis Theory of Turbulence(The revised)

2004-11-30

arxiv.org/abs/physics/0411251v2

Physics

Fluid Dynamics

10 pages

Scientific paper

10.1088/0256-307X/22/10/041

Some important concepts in the nonstandard analysis theory of turbulence are presented in this article. The structure of point, on which differential equations are defined, is analyzed. The distinction between the uniform point and the non-uniform point, as well as between the standard point and the nonstandard point, is showed. A new kind of equations, which differ essentially from those in existent theory, is emphasized. These new equations can hold at non-uniform points. The applicability of the Navier-Stokes equations to turbulence is discussed. Some illustrations of the nonstandard analysis theory of turbulence are given too.

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