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http://dx.doi.org/10.18419/opus-4855
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DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Kirrmann, Pius | de |
dc.contributor.author | Schneider, Guido | de |
dc.contributor.author | Mielke, Alexander | de |
dc.date.accessioned | 2009-07-14 | de |
dc.date.accessioned | 2016-03-31T08:35:46Z | - |
dc.date.available | 2009-07-14 | de |
dc.date.available | 2016-03-31T08:35:46Z | - |
dc.date.issued | 1992 | de |
dc.identifier.other | 314446354 | de |
dc.identifier.uri | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-40788 | de |
dc.identifier.uri | http://elib.uni-stuttgart.de/handle/11682/4872 | - |
dc.identifier.uri | http://dx.doi.org/10.18419/opus-4855 | - |
dc.description.abstract | Modulation equations play an essential role in the understanding of complicated systems near the threshold of instability. Here we show that the modulation equation dominates the dynamics of the full problem locally, at least over a long time-scale. For systems wuh no quadratic interaction term, we develop a method which is much simpler than previous ones. It involves a careful bookkeeping of errors and an estimate of Gronwall type. As an example for the dIssipative case. we find that the Ginzburg-Landau equation is the modulation equation for the Swift-Hohenberg problem. Moreover, the method also enables us to handle hyperbolic problems: the nonlinear Schrodinger equatton is shown to describe the modulation of wave packets in the Sine-Gordon equation. | en |
dc.language.iso | en | de |
dc.rights | info:eu-repo/semantics/openAccess | de |
dc.subject.classification | Modulationsgleichung | de |
dc.subject.ddc | 510 | de |
dc.title | The validity of modulation equations for extended systems with cubic nonlinearities | en |
dc.type | article | de |
dc.date.updated | 2013-06-04 | de |
ubs.fakultaet | Fakultät Mathematik und Physik | de |
ubs.institut | Institut für Analysis, Dynamik und Modellierung | de |
ubs.opusid | 4078 | de |
ubs.publikation.source | Proceedings of the Royal Society of Edinburgh, Section A: Mathematics 122 (1992), S. 85-91 | de |
ubs.publikation.typ | Zeitschriftenartikel | de |
Enthalten in den Sammlungen: | 08 Fakultät Mathematik und Physik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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schnei4.pdf | 252,12 kB | Adobe PDF | Öffnen/Anzeigen |
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