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

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

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.

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Veröffentlicht in:Communications in mathematical physics 2014-09, Vol.330 (2), p.819-857
Hauptverfasser: Constantin, Peter, Glatt-Holtz, Nathan, Vicol, Vlad
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Quantum Gravitation
Complex Systems
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
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Beschreibung
Zusammenfassung: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.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-014-2003-3