Approximation of the random inertial manifold of singularly perturbed stochastic wave equations

DOI10.1142/S0219493713500184zbMath1303.60058arXiv1209.0090OpenAlexW2963702047MaRDI QIDQ5417123

Yan Lv, Wei Wang, Anthony Roberts

Publication date: 16 May 2014

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0090

zbMATH Keywords

Smoluchowski-Kramers approximationrandom inertial manifoldsingularly perturbed stochastic wave equation

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Limit theorems in probability theory (60F99)

Related Items (6)

A Smoluchowski-Kramers approximation for an infinite dimensional system with state-dependent damping ⋮ On the small noise limit in the Smoluchowski-Kramers approximation of nonlinear wave equations with variable friction ⋮ An averaging approach to the Smoluchowski-Kramers approximation in the presence of a varying magnetic field ⋮ On the convergence of stationary solutions in the Smoluchowski-Kramers approximation of infinite dimensional systems ⋮ Approximate dynamics of a class of stochastic wave equations with white noise ⋮ Smoluchowski-Kramers approximation with state dependent damping and highly random oscillation

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