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https://hdl.handle.net/2440/71466
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DC Field | Value | Language |
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dc.contributor.author | Lv, Y. | - |
dc.contributor.author | Roberts, A. | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Journal of Mathematical Physics, 2012; 53(6):1-12 | - |
dc.identifier.issn | 0022-2488 | - |
dc.identifier.issn | 1089-7658 | - |
dc.identifier.uri | http://hdl.handle.net/2440/71466 | - |
dc.description.abstract | An 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. | - |
dc.description.statementofresponsibility | Yan Lv and A. J. Roberts | - |
dc.language.iso | en | - |
dc.publisher | Amer Inst Physics | - |
dc.rights | © 2012 American Institute of Physics | - |
dc.source.uri | http://dx.doi.org/10.1063/1.4726175 | - |
dc.subject | nonlinear equations | - |
dc.subject | stochastic processes | - |
dc.subject | wave equations | - |
dc.title | Averaging approximation to singularly perturbed nonlinear stochastic wave equations | - |
dc.type | Journal article | - |
dc.contributor.department | Faculty of Engineering, Computer & Mathematical Sciences | - |
dc.identifier.doi | 10.1063/1.4726175 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Roberts, A. [0000-0001-8930-1552] | - |
Appears in Collections: | Applied Mathematics publications Aurora harvest 5 |
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