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Approximation of Stochastic Invariant Manifolds
Chekroun, Mickael D.; Wang, Shouhong; Liu, Honghu
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Description for Approximation of Stochastic Invariant Manifolds
Paperback. Series: SpringerBriefs in Mathematics. Num Pages: 142 pages, 1 colour illustrations, biography. BIC Classification: PBKJ; PBT; PBWR. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 8. Weight in Grams: 232.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2014
Publisher
Springer International Publishing AG Switzerland
Number of pages
142
Condition
New
Series
SpringerBriefs in Mathematics
Number of Pages
127
Place of Publication
Cham, Switzerland
ISBN
9783319124957
SKU
V9783319124957
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Approximation of Stochastic Invariant Manifolds
“The book under review is the first in a two-volume series and deals with approximation of stochastic manifolds that are invariant for dynamics of a parabolic Stratonovich SPDE driven by a one-dimensional Wiener process. … The book is aimed at readers interested in stochastic partial differential equations and random dynamical systems.” (Martin Ondreját, zbMATH 1319.60002, 2015)