A dynamical approximation for stochastic partial differential equations
| dc.creator | Wang, Wei | |
| dc.creator | Duan, Jinqiao | |
| dc.date | 2006-07-03 | |
| dc.date | 2007-10-07 | |
| dc.date.accessioned | 2026-07-07T08:34:30Z | |
| dc.date.available | 2026-07-07T08:34:30Z | |
| dc.description | Random invariant manifolds often provide geometric structures for understanding stochastic dynamics. In this paper, a dynamical approximation estimate is derived for a class of stochastic partial differential equations, by showing that the random invariant manifold is almost surely asymptotically complete. The asymptotic dynamical behavior is thus described by a stochastic ordinary differential system on the random invariant manifold, under suitable conditions. As an application, stationary states (invariant measures) is considered for one example of stochastic partial differential equations. | |
| dc.description | 28 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0607050 | |
| dc.identifier | http://arxiv.org/abs/math/0607050 | |
| dc.identifier | J. Math. Phys., 2007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139459 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 37L55, 35R60, 60H15, 37H20 | |
| dc.title | A dynamical approximation for stochastic partial differential equations | |
| dc.type | text |