Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions
Sergei B. Kuksin
Heriot-Watt University, Edinburgh, UK
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| FrontmatterDownload pp. i–iv | |
| ContentsDownload pp. v–vi | |
| 0 | IntroductionDownload pp. vii–ix |
| 1 | Function spacespp. 1–4 |
| 2 | The deterministic 2D Navier-Stokes Equationpp. 5–23 |
| 3 | Random kick-forcespp. 24–29 |
| 4 | White-forced equationspp. 30–38 |
| 5 | Preliminaries from measure theorypp. 39–42 |
| 6 | Uniqueness of a stationary measure: kick-forcespp. 43–55 |
| 7 | Uniqueness of a stationary measure: white-forcespp. 56–59 |
| 8 | Ergodicity and the strong law of large numberspp. 60–62 |
| 9 | The martingale approximation and CLTpp. 63–65 |
| 10 | The Eulerian limitpp. 66–76 |
| 11 | Balance relations for the white-forced NSEpp. 77–82 |
| 12 | Commentspp. 83–87 |
| Bibliographypp. 88–92 | |
| Indexp. 93 |