Averaging approximation to singularly perturbed nonlinear stochastic wave equations

DOI10.1063/1.4726175zbMath1277.35349arXiv1107.4184OpenAlexW3105764086MaRDI QIDQ2865452

Yan Lv, Anthony Roberts

Publication date: 29 November 2013

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

Full work available at URL: https://arxiv.org/abs/1107.4184

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Generation, random and stochastic difference and differential equations (37H10) PDEs with randomness, stochastic partial differential equations (35R60) Second-order hyperbolic equations (35L10)

Related Items (8)

A Smoluchowski-Kramers approximation for an infinite dimensional system with state-dependent damping ⋮ Limiting dynamics for stochastic nonclassical diffusion equations ⋮ On the small noise limit in the Smoluchowski-Kramers approximation of nonlinear wave equations with variable friction ⋮ The small mass limit for long time statistics of a stochastic nonlinear damped wave equation ⋮ An averaging approach to the Smoluchowski-Kramers approximation in the presence of a varying magnetic field ⋮ Large Deviation Principle for Singularly Perturbed Stochastic Damped Wave Equations ⋮ On the convergence of stationary solutions in the Smoluchowski-Kramers approximation of infinite dimensional systems ⋮ Effective approximation of stochastic sine-Gordon equation with a fast oscillation

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