{"product_id":"9783319124957","title":"SpringerBriefs in Mathematics: Stochastic Manifolds for Nonlinear SPDEs I","description":"\u003ch1\u003eSpringerBriefs in Mathematics: Stochastic Manifolds for Nonlinear SPDEs I\u003c\/h1\u003e \u003ch2\u003eChekroun, Mickaël D.; Liu, Honghu; Wang, Shouhong\u003c\/h2\u003e \u003cp\u003eThis 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2015-01-13\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319124957\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-12496-4\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 127\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45548563005580,"sku":"9783319124957","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319124957.jpg?v=1775785795","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319124957","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}