Dispersive effective models for waves in heterogeneous media

Simple item page
dc.contributor.authorLamacz, Agnes
dc.date.accessioned2010-03-23T14:45:40Z
dc.date.available2010-03-23T14:45:40Z
dc.date.issued2010-03-23T14:45:40Z
dc.description.abstractWe study the long time behavior of waves in a strongly heterogeneous medium, starting from the one-dimensional scalar wave equation with variable coefficients. We assume that the coefficients are periodic with period ɛ and ɛ > 0 is a small length parameter. Our main result is the rigorous derivation of two different dispersive models. The first is a fourth-order equation with constant coefficients including powers of ɛ . In the second model, the ɛ-dependence is completely avoided by considering a third-order linearized Korteweg-de-Vries equation. Our result is that both simplified models describe the long time behavior well. An essential tool in our analysis is an adaption operator which modifies smooth functions according to the periodic structure of the medium.en
dc.identifier.urihttp://hdl.handle.net/2003/26993
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-8578
dc.language.isoen
dc.relation.ispartofseriesPreprints der Fakultät für Mathematik ; 2010-05de
dc.subjecthomogenizationen
dc.subjectwave equationen
dc.subjectdispersive modelen
dc.subjectlong time behavioren
dc.subject.ddc610
dc.titleDispersive effective models for waves in heterogeneous mediaen
dc.typeTextde
dc.type.publicationtypepreprinten
dcterms.accessRightsopen access

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
mathematicalPreprint-2010-05.pdf
Size:
390.25 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.01 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Preprints der Fakultät für Mathematik