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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear Spdes I

Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear Spdes I

Chekroun, Mickaël D.
Liu, Honghu
Wang, Shouhong

Paperback

Series: Springerbriefs in Mathematics

General MathematicsProbability & Statistics

ISBN10: 3319124951
ISBN13: 9783319124957
Publisher: Springer Nature
Published: Jan 13 2015
Pages: 127
Weight: 0.47
Height: 0.31 Width: 6.14 Depth: 9.21
Language: English
This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class of nonlinear stochastic partial differential equations. These approximations take the form of Lyapunov-Perron integrals, which are further characterized in Volume II as pullback limits associated with some partially coupled backward-forward systems. This pullback characterization provides a useful interpretation of the corresponding approximating manifolds and leads to a simple framework that unifies some other approximation approaches in the literature. A self-contained survey is also included on the existence and attraction of one-parameter families of stochastic invariant manifolds, from the point of view of the theory of random dynamical systems.

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