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DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Schweizer, Ben | - |
dc.contributor.author | Theil, Florian | - |
dc.date.accessioned | 2018-02-06T16:49:45Z | - |
dc.date.available | 2018-02-06T16:49:45Z | - |
dc.date.issued | 2017-12-19 | - |
dc.identifier.uri | http://hdl.handle.net/2003/36361 | - |
dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-18362 | - |
dc.description.abstract | We investigate the long time behavior of waves in crystals. Starting from a linear wave equation on a discrete lattice with periodicity ε > 0, we derive the continuum limit equation for time scales of order ε^(-2). The effective equation is a weakly dispersive wave equation of fourth order. Initial values with bounded support result in ring-like solutions and we characterize the dispersive long-time behavior of the radial profiles with a linearized KdV equation of third order. | en |
dc.language.iso | en | - |
dc.subject | lattice dynamics | en |
dc.subject | continuum limit | en |
dc.subject | dispersive effective equation | en |
dc.subject.ddc | 610 | - |
dc.title | Lattice dynamics on large time scales and dispersive effective equations | en |
dc.type | Text | de |
dc.type.publicationtype | preprint | en |
dc.subject.rswk | Gitterdynamik | de |
dc.subject.rswk | Korteweg-de-Vries-Gleichung | de |
dcterms.accessRights | open access | - |
eldorado.secondarypublication | false | - |
Enthalten in den Sammlungen: | Preprints der Fakultät für Mathematik Schweizer, Ben Prof. Dr. |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
---|---|---|---|---|
Preprint 2017-05.pdf | DNB | 794.71 kB | Adobe PDF | Öffnen/Anzeigen |
Diese Ressource ist urheberrechtlich geschützt. |
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