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Adelaide Research and Scholarship
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Schools and Disciplines
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School of Mathematical Sciences
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Applied Mathematics
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Applied Mathematics Publications
Please use this identifier to cite or link to this item:
http://hdl.handle.net/2440/71466
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| Type: | Journal article |
| Title: | Averaging approximation to singularly perturbed nonlinear stochastic wave equations |
| Author: | Lv, Yan
Roberts, Anthony John |
| Citation: | Journal of Mathematical Physics, 2012; 53(6):062702 |
| Publisher: | American Institute of Physics |
| Issue Date: | 2012 |
| ISSN: | 0022-2488 |
| School/Discipline: | School of Mathematical Sciences : Applied Mathematics |
| Department: | Faculty of Engineering, Computer & Mathematical Sciences |
Statement of
Responsibility: | Yan Lv and A. J. Roberts |
| 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. |
| Keywords: | nonlinear equations; stochastic processes; wave equations |
| Rights: | © 2012 American Institute of Physics |
| RMID: | 0020120584 |
| DOI: | 10.1063/1.4726175 |
| Appears in Collections: | Applied Mathematics Publications
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