Lv, Y.Roberts, A.2012-06-122012-06-122012Journal of Mathematical Physics, 2012; 53(6):1-120022-24881089-7658http://hdl.handle.net/2440/71466An averaging method is applied to derive effective approximation to a singularly perturbed nonlinear stochastic damped wave equation. Small parameter ν > 0 characterizes the singular perturbation, and νᵅ, 0 ≤ α ≤ 1/2, parametrizes the strength of the noise. Some scaling transformations and the martingale representation theorem yield the effective approximation, a stochastic nonlinear heat equation, for small ν in the sense of distribution.en© 2012 American Institute of Physicsnonlinear equationsstochastic processeswave equationsJournal article00201205842012060912203010.1063/1.472617597 Expanding Knowledge9701 Expanding Knowledge970101 Expanding Knowledge in the Mathematical Sciences01 Mathematical Sciences0102 Applied Mathematics010201 Approximation Theory and Asymptotic Methods010204 Dynamical Systems in Applications010207 Theoretical and Applied Mechanics0003058343000132-s2.0-8486351669423920Roberts, A. [0000-0001-8930-1552]