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{ "item_title" : "Approximation of Stochastic Invariant Manifolds", "item_author" : [" Mickaël D. Chekroun", "Honghu Liu", "Shouhong Wang "], "item_description" : "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.", "item_img_path" : "https://covers2.booksamillion.com/covers/bam/3/31/912/495/3319124951_b.jpg", "price_data" : { "retail_price" : "54.99", "online_price" : "54.99", "our_price" : "54.99", "club_price" : "54.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Approximation of Stochastic Invariant Manifolds|Mickaël D. Chekroun

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

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Overview

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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Details

  • ISBN-13: 9783319124957
  • ISBN-10: 3319124951
  • Publisher: Springer
  • Publish Date: January 2015
  • Dimensions: 9.21 x 6.14 x 0.31 inches
  • Shipping Weight: 0.47 pounds
  • Page Count: 127

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