波動乱流における波数間非線形相互作用の大自由度性(流体数理(2),一般講演)

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概要

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• In weak turbulent systems, where nonlinear interactions among waves are weak, statistical properties are well described by weak turbulence theory. The traditional weak turbulence theory assumes separation of linear and nonlinear time scales derived from the weak nonlinearity. However, the separation of time scales is sometimes violated in wave turbulent systems where the nonlinear interactions are not necessarily weak. In this work, closed equations are derived without assuming the separation of time scales in accordance with Direct Interaction Approximation (DIA) theory, which has been successfully applied to Navier-Stokes turbulence. Moreover, the kinetic equation of the weak turbulence theory is recovered if the weak nonlinearity is assumed as an additional assumption. It suggests that the DIA theory is a natural extension of the weak turbulence theory to not-necessarily-weak wave turbulent systems.

• 日本流体力学会の論文
• 2010-09-09

著者

• 横山 直人

  京大工

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