We review recent results on the approximation of transient dynamics of SPDEs by amplitude equations. As an application we derive the flow along an approximate centre manifold, and we study the dynamics of random fixed points. To discuss the long-time behaviour we give an approximation result for invariant measures.
CITATION STYLE
Blömker, D., & Hairer, M. (2005). Amplitude Equations for Spdes: Approximate Centre Manifolds and Invariant Measures (pp. 41–59). https://doi.org/10.1007/978-0-387-29371-4_4
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