The Euler equation: A uniform nonstandard construction of a global flow, invariant measures and statistical solutions

DOI10.1214/AOAP/1177005516zbMath0779.35084OpenAlexW2093351951MaRDI QIDQ1210492

Capiński, Marek, Nigel J. Cutland

Publication date: 23 January 1994

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1177005516

zbMATH Keywords

Euler equationsinvariant measuresexistence of statistical solutionsnonstandard construction of a global flow

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Euler-Poisson-Darboux equations (35Q05) Nonstandard measure theory (28E05) Nonstandard analysis (26E35)

Related Items (2)

Abstract framework for the theory of statistical solutions ⋮ Invariant measures for the two-dimensional averaged-Euler equations

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