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A Dynamical Approximation for Stochastic Partial Differential Equations by Wang, Wei; Duan, Jinqiao is a scholarly article available to read on EtoBox.

What is A Dynamical Approximation for Stochastic Partial Differential Equations about?

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.

Author

Wang, Wei; Duan, Jinqiao

Published

2006

Language

EN