The 2D euler equations and the statistical transport Equations

Nikolai V. Chemetov; F. Cipriano

doi:10.1007/s00220-006-0078-1

The 2D euler equations and the statistical transport Equations

Nikolai V. Chemetov, F. Cipriano

DM - Departamento de Matemática

Research output: Contribution to journal › Article

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	543-558
Number of pages	16
Journal	Communications In Mathematical Physics
Volume	267
Issue number	2
DOIs	https://doi.org/10.1007/s00220-006-0078-1
Publication status	Published - Oct 2006

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title = "The 2D euler equations and the statistical transport Equations",

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.",

keywords = "flows, differential-equations, space, wiener",

author = "Chemetov, {Nikolai V.} and F. Cipriano",

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AU - Cipriano, F.

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AB - 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.

KW - flows

KW - differential-equations

KW - space

KW - wiener

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DO - 10.1007/s00220-006-0078-1

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JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

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