The Euler Equation: A Uniform Nonstandard Construction of a Global Flow, Invariant Measures and Statistical Solutions

Authors
Capinski, Marek Cutland, Nigel J.
Citation
Capinski, Marek et J. Cutland, Nigel, The Euler Equation: A Uniform Nonstandard Construction of a Global Flow, Invariant Measures and Statistical Solutions, Annals of applied probability , 3(1), 1993, pp. 212-227
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
3
Issue
1
Year of publication
1993
Pages
212 - 227
Database
ACNP
SICI code
Abstract
We present a simple nonstandard construction of a global Euler flow and some classes of measures invariant with respect to the flow, including examples of non-Gaussian ones. We also obtain existence of statistical solutions of the Euler equation for a wide class of initial measures.