Malliavin calculus for the stochastic 2D Navier-Stokes equation
| dc.contributor.author | Mattingly, JC | |
| dc.contributor.author | Pardoux, E | |
| dc.date.accessioned | 2017-11-30T20:53:55Z | |
| dc.date.available | 2017-11-30T20:53:55Z | |
| dc.date.issued | 2006-12-01 | |
| dc.description.abstract | We consider the incompressible, two-dimensional Navier-Stokes equation with periodic boundary conditions under the effect of an additive, white-in-time, stochastic forcing. Under mild restrictions on the geometry of the scales forced, we show that any finite-dimensional projection of the solution possesses a smooth, strictly positive density with respect to Lebesgue measure. In particular, our conditions are viscosity independent. We are mainly interested in forcing that excites a very small number of modes. All of the results rely on proving the nondegeneracy of the infinite-dimensional Malliavin matrix. © 2006 Wiley Periodicals, Inc. | |
| dc.identifier.eissn | 0010-3640 | |
| dc.identifier.issn | 0010-3640 | |
| dc.identifier.uri | ||
| dc.publisher | Wiley | |
| dc.relation.ispartof | Communications on Pure and Applied Mathematics | |
| dc.relation.isversionof | 10.1002/cpa.20136 | |
| dc.title | Malliavin calculus for the stochastic 2D Navier-Stokes equation | |
| dc.type | Journal article | |
| duke.contributor.orcid | Mattingly, JC|0000-0002-1819-729X | |
| pubs.begin-page | 1742 | |
| pubs.end-page | 1790 | |
| pubs.issue | 12 | |
| pubs.organisational-group | Duke | |
| pubs.organisational-group | Mathematics | |
| pubs.organisational-group | Statistical Science | |
| pubs.organisational-group | Temp group - logins allowed | |
| pubs.organisational-group | Trinity College of Arts & Sciences | |
| pubs.publication-status | Published | |
| pubs.volume | 59 |
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