纳维-斯托克斯方程的随机变分方法
Navier-Stokes Equation by Stochastic Variational Method
摘要：
首次证明了随机变分方法可以从理想流体的作用出发自然地导出纳维-斯托克斯方程。在随机变分法的框架下，将动力学变量推广为随机量。然后，耗散的效果实现的波动耗散定理的直接后果。目前的结果表明，这种方法来描述更一般的耗散过程的潜在可用性。
英文摘要：
We show for the first time that the stochastic variational method can naturally derive the Navier-Stokes equation starting from the action of ideal fluid. In the frame work of the stochastic variational method, the dynamical variables are extended to stochastic quantities. Then the effect of dissipation is realized as the direct consequence of the fluctuation-dissipation theorem. The present result reveals the potential availability of this approach to describe more general dissipative processes.
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