dc.contributor.author |
Mortell, Michael P. |
|
dc.contributor.author |
Seymour, Brian R. |
|
dc.date.accessioned |
2019-04-30T10:43:26Z |
|
dc.date.available |
2019-04-30T10:43:26Z |
|
dc.date.issued |
2019-04-05 |
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dc.identifier.citation |
Mortell, M. P. and Seymour, B. R. (2019) 'The evolution of resonance: a multiscale approach to the effect of nonlinearity, frequency dispersion and geometry', Mathematical Modelling of Natural Phenomena, 14(4), 403 (20pp). doi: 10.1051/mmnp/2019005 |
en |
dc.identifier.volume |
14 |
en |
dc.identifier.issued |
4 |
en |
dc.identifier.startpage |
1 |
en |
dc.identifier.endpage |
20 |
en |
dc.identifier.issn |
0973-5348 |
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dc.identifier.uri |
http://hdl.handle.net/10468/7823 |
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dc.identifier.doi |
10.1051/mmnp/2019005 |
en |
dc.description.abstract |
Nonlinear resonant oscillations in continuous media contain two natural time scales: the travel time in the medium and the ‘slow’ time defined by the small nonlinearity. A multiscale approach is used to describe the evolution to a periodic state. We focus on three basic experiments that define nonlinear resonant oscillations in continuous media: a gas in both a straight tube and a tube of variable cross-section, and shallow water in a tank. The outcomes of these experiments are described and the mathematical techniques that show the evolution to the final periodic states are given in some detail. |
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dc.format.mimetype |
application/pdf |
en |
dc.language.iso |
en |
en |
dc.publisher |
EDP Sciences |
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dc.relation.uri |
https://doi.org/10.1051/mmnp/2019005 |
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dc.rights |
© 2019, EDP Sciences. Copyright of Mathematical Modelling of Natural Phenomena is the property of EDP Sciences and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. |
en |
dc.subject |
Nonlinear wave |
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dc.subject |
Resonance |
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dc.subject |
Evolution |
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dc.title |
The evolution of resonance: a multiscale approach to the effect of nonlinearity, frequency dispersion and geometry |
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dc.type |
Article (peer-reviewed) |
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dc.internal.authorcontactother |
Michael Mortell, School Of Mathematical Sciences, University College Cork, Cork, Ireland. +353-21-490-3000 Email: m.mortell@ucc.ie |
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dc.internal.availability |
Full text available |
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dc.date.updated |
2019-04-30T10:35:29Z |
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dc.description.version |
Published Version |
en |
dc.internal.rssid |
483476272 |
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dc.description.status |
Peer reviewed |
en |
dc.identifier.journaltitle |
Mathematical Modelling of Natural Phenomena |
en |
dc.internal.copyrightchecked |
Yes |
|
dc.internal.licenseacceptance |
Yes |
en |
dc.internal.IRISemailaddress |
m.mortell@ucc.ie |
en |
dc.identifier.articleid |
403 |
en |
dc.identifier.eissn |
1760-6101 |
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