An Approach to the Eulerian-Lagrangian Problem

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Abstract
The generalization is developed, for n functions of n variables, of the Kac‐Rice theorem on the occurrence of zeros of a random function, and is applied to a particular kind of vector integral equation in a single independent variable (time) by discretizing the time axis. In this way the functional probability for the solution of the equation is obtained. This technique is applied to the stochastic integral equation representing the motion of a tagged point in a fluid in turbulent motion.

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