Approximation of Stochastic Invariant Manifolds Stochastic Manifolds for Nonlinear SPDEs I /

• Main Authors: Chekroun, Mickaël D. (Author), Liu, Honghu (Author), Wang, Shouhong (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Partial differential equations.; Probabilities.; Dynamical Systems and Ergodic Theory.; Partial Differential Equations.; Probability Theory and Stochastic Processes.; Ordinary Differential Equations.

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...