The time horizon for stochastic homogenization of the one-dimensional wave equation
| 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 | 2023-07-28 | |
| 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.identifier.uri | http://hdl.handle.net/2003/42065 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-23898 | |
| 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 |