{"product_id":"approximation-of-stochastic-invariant-manifolds-von-mickael-d-chekroun-shouhong-wang-und-honghu-liu","title":"Approximation of Stochastic Invariant Manifolds","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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783319124957\"\u003e\u003ch3\u003eStochastic Manifolds for Nonlinear SPDEs I\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783319124957","offer_id":40571004682333,"sku":"9783319124957","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/feed7980-aac5-4fa3-a5ef-084e6279b651.jpg?v=1772171030","url":"https:\/\/shop.autorenwelt.de\/products\/approximation-of-stochastic-invariant-manifolds-von-mickael-d-chekroun-shouhong-wang-und-honghu-liu","provider":"Autorenwelt Shop","version":"1.0","type":"link"}