The 2D Euler equations and the statistical transport equations

Citation:
Chemetov, N. V., and F. Cipriano. "The 2D Euler equations and the statistical transport equations." COMMUNICATIONS IN MATHEMATICAL PHYSICS. 267 (2006): 543-558.

Abstract:

{We prove the existence of weak solutions for the forward and backward statistical transport equations associated with the 2D Euler equations. Such solutions can be interpreted, respectively, as a statistical Lagrangian and a statistical Eulerian description of the motion of the fluid.}

Notes:

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