Stationarity of Lagrangian velocity in compressible environments
The author studies the transport of a particle by a random \(d\)-dimensional Gaussian compressible velocity field as a model for Lagrangian picture of turbulent transport. It known that if the field is incompressible, the so-called Lagrangian velocity process is statistically stationary. It is shown that for a given sufficient temporal decorrelation of the velocity statistics there exists a transformation of the original probability measure under which the Lagrangian velocity process is time-stationary.
scientific article; zbMATH DE number 1836984