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

By Peter Constantin, Nathan E. Glatt-Holtz, Vlad Vicol. 2013

74 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Control and Systems Engineering, Finance

View Paper: https://www.semanticscholar.org/paper/66feb2fd45b60f440ad3b2eb7f6d5a797dff5a1a

How researchers see this paper

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In Applied Mathematics

1. Vlad Vicol
2. Igor Kukavica
3. Nathan E. Glatt-Holtz
4. Mohammed B. Ziane
5. Nader Masmoudi
6. Davdi Gerard-Varet
7. Jacob Bedrossian
8. Martina Hofmanov'a

In Control and Systems Engineering

1. Vlad Vicol
2. Nathan E. Glatt-Holtz
3. Igor Kukavica
4. Mohammed B. Ziane
5. Nader Masmoudi
6. Jacob Bedrossian
7. Roger Temam

In Finance

1. Nathan E. Glatt-Holtz
2. Vlad Vicol
3. Mohammed B. Ziane
4. Igor Kukavica

Citations in the corpus

• Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations (2013, methodology): “ the nonlinear term are absent. Indeed, the continuous dependence on data estimate of Lemma 3.1 sees the norms of both solutions. In such “strong norms” this would be the case even for additive noise [CGHV13]. We overcome this difficulty by using a delicate stopping time argument and a careful iterat”