A dynamical approximation for stochastic partial differential equations

DOI10.1063/1.2800164zbMath1152.81629arXivmath/0607050OpenAlexW1994937862MaRDI QIDQ3544470

Wei Wang, Jin-qiao Duan

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607050

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (13)

APPROXIMATION OF INVARIANT FOLIATIONS FOR STOCHASTIC DYNAMICAL SYSTEMS ⋮ Centre manifolds for stochastic evolution equations ⋮ Qualitative properties of local random invariant manifolds for SPDEs with quadratic nonlinearity ⋮ Center manifolds for rough partial differential equations ⋮ Stability and constructions of the Poincaré maps for a class of stochastic partial differential equations ⋮ Resolution of subgrid microscale interactions enhances the discretisation of nonautonomous partial differential equations ⋮ Approximation of the random inertial manifold of singularly perturbed stochastic wave equations ⋮ Approximation of random invariant manifolds for a stochastic Swift-Hohenberg equation ⋮ Finite dimensional reducing and smooth approximating for a class of stochastic partial differential equations ⋮ Approximate dynamics of a class of stochastic wave equations with white noise ⋮ Normally hyperbolic invariant manifolds for random dynamical systems: Part I - persistence ⋮ An impact of noise on invariant manifolds in nonlinear dynamical systems ⋮ Rough Center Manifolds

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