Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Schäffner, Mathias | - |
dc.contributor.author | Schweizer, Ben | - |
dc.date.accessioned | 2023-08-14T17:26:47Z | - |
dc.date.available | 2023-08-14T17:26:47Z | - |
dc.date.issued | 2023-07 | - |
dc.identifier.uri | http://hdl.handle.net/2003/42065 | - |
dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-23898 | - |
dc.description.abstract | The wave equation with stochastic coefficients can be classically homogenized on bounded time intervals; solutions converge in the homogenization limit to solutions of a wave equation with constant coefficients. This is no longer true on large time scales: Even in the periodic case with periodicity ε, classical homogenization fails for times of the order ε−2. We consider the one-dimensional wave equation and are interested in the critical time scale ε−β from where on classical homogenization fails. In the general setting, we derive upper and lower bounds for β in terms of the growth rate of correctors. In the specific setting of i.i.d. coefficients with matched impedance, we show that the critical time scale is ε−1 | en |
dc.language.iso | en | - |
dc.subject | wave | en |
dc.subject.ddc | 610 | - |
dc.title | The time horizon for stochastic homogenization of the one-dimensional wave equation | en |
dc.type | Text | de |
dc.type.publicationtype | preprint | en |
dcterms.accessRights | open access | - |
eldorado.secondarypublication | false | - |
Appears in Collections: | Preprints der Fakultät für Mathematik |
Files in This Item:
File | Description | Size | Format | |
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StochWavesUpLow-preprint.pdf | DNB | 482.43 kB | Adobe PDF | View/Open |
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