確率的ボルツマン方程式の粗視化とモーメント方程式(流体数理(2),一般講演)

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  • The coarsely grained stochastic Boltzmann equation and its moment equations

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The stochastic Boltzmann equation is coarsely grained in (3+1) spacetime. The coarsely grained stochastic Boltzmann equation does not coincide with the Boltzmann equation owing to the product of fluctuating moments, which are considered to be non zero values by taking average in (3+1) spacetime. The violation of "molecular chaos" is expressed by the multistaged collision terms in the mean collision time. Finally, reduced Grad's 26 moment equations indicates that fluctuations of one higher order moments emerge in Navier-Stokes-Fourier equation.

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