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Representation of Manifolds for the Stochastic Swift-Hohenberg Equation with Multiplicative Noise
- Source :
- Advances in Mathematical Physics, Vol 2020 (2020)
- Publication Year :
- 2020
- Publisher :
- Hindawi Limited, 2020.
-
Abstract
- Representation of approximation for manifolds of the stochastic Swift-Hohenberg equation with multiplicative noise has been investigated via non-Markovian reduced system. The approximate parameterizations of the small scales for the large scales are given in the process of seeking for stochastic parameterizing manifolds, which are obtained as pullback limits of some backward-forward systems depending on the time-history of the dynamics of the low modes in a mean square sense through the nonlinear terms. When the corresponding pullback limits of some backward-forward systems are efficiently determined, the corresponding non-Markovian reduced systems can be obtained for researching good modeling performances in practice.
Details
- Language :
- English
- ISSN :
- 16879120 and 16879139
- Volume :
- 2020
- Database :
- Directory of Open Access Journals
- Journal :
- Advances in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.95b9d62bcd6642558f7c4b7e2c69d8bc
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2020/2676919