Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations

Peter Constantin; Nathan Glatt-Holtz; Vlad Vicol

doi:10.1007/s00220-014-2003-3

Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations

Peter Constantin, Nathan Glatt-Holtz, Vlad Vicol

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We establish the existence and uniqueness of an ergodic invariant measure for 2D fractionally dissipated stochastic Euler equations on the periodic box for any power of the dissipation term.

Original language	English (US)
Pages (from-to)	819-857
Number of pages	39
Journal	Communications In Mathematical Physics
Volume	330
Issue number	2
DOIs	https://doi.org/10.1007/s00220-014-2003-3
State	Published - Sep 2014

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-014-2003-3

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abstract = "We establish the existence and uniqueness of an ergodic invariant measure for 2D fractionally dissipated stochastic Euler equations on the periodic box for any power of the dissipation term.",

author = "Peter Constantin and Nathan Glatt-Holtz and Vlad Vicol",

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Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations

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