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https://hdl.handle.net/2440/100643
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DC Field | Value | Language |
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dc.contributor.author | Lv, Y. | - |
dc.contributor.author | Wang, W. | - |
dc.contributor.author | Roberts, A. | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | Stochastics and Dynamics, 2014; 14(2):1350018-1-1350018-21 | - |
dc.identifier.issn | 0219-4937 | - |
dc.identifier.issn | 1793-6799 | - |
dc.identifier.uri | http://hdl.handle.net/2440/100643 | - |
dc.description.abstract | By applying Rohlin’s result on the classification of homomorphisms of Lebesgue space, the random inertial manifold of a stochastic damped nonlinear wave equations with singular perturbation is proved to be approximated almost surely by that of a stochastic nonlinear heat equation which is driven by a new Wiener process depending on the singular perturbation parameter. This approximation can be seen as the Smolukowski-Kramers approximation as time goes to infinity. However, as time goes infinity, the approximation changes with the small parameter, which is different from the approximation on a finite time interval. | - |
dc.description.statementofresponsibility | Yan Lv, Wei Wang and A.J. Roberts | - |
dc.language.iso | en | - |
dc.publisher | World Scientific Publishing | - |
dc.rights | © World Scientific Publishing Company | - |
dc.source.uri | http://dx.doi.org/10.1142/s0219493713500184 | - |
dc.subject | Random inertial manifold; singularly perturbed stochastic wave equation; Lebesgue space; homomorphism | - |
dc.title | Approximation of the random inertial manifold of singularly perturbed stochastic wave equations | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1142/S0219493713500184 | - |
dc.relation.grant | http://purl.org/au-research/grants/arc/DP0774311 | - |
dc.relation.grant | http://purl.org/au-research/grants/arc/DP0988738 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Roberts, A. [0000-0001-8930-1552] | - |
Appears in Collections: | Aurora harvest 7 Mathematical Sciences publications |
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