A Functional Treatise on Statistical Hydromechanics with Random Force Action

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概要

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• Statistical hydromechanics originated by Hopf is generalized to take into account the influence of an external random force field with an arbitrary (not necessarily Gaussian) distribution. Starting from the space-time functional formalism for turbulence recently established, a general expression for the characteristic functional describing the statistical behavior of fluid at each instant is derived in the form of a functional integral. For the case that the random force field is temporally correlated in the delta-function manner, a functional-differential equation is obtained which governs the time-evolution of the characteristic functional. This equation, being a counterpart of the Hopf equation which was given for the case of no random excitation, involves Novikov's equation, as a special case.

• 社団法人日本物理学会の論文
• 1968-07-05

著者

• Hosokawa Iwao

  National Aerospace Laboratory

• Hosokawa Iwao

  National Aeronautical Laboratory

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