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A Stability Property of Stochastic Vibration
| Content Provider | Scilit |
|---|---|
| Author | Elshamy, M. |
| Copyright Year | 2007 |
| Description | Let u(t,x) be the displacement at time t of a point x on a string; the time variable t varies in the interval I≔[0,T] and the space variable x varies in the interval J≔[0,L], where T and L are fixed positive constants. The displacement u(t,x) is the solution to a stochastic wave equation. Two forms of random excitations are considered, a white noise in the initial condition and a nonlinear random forcing which involves the formal derivative of a Brownian sheet. In this article, we consider the continuity properties of solutions to this equation. Smoothness characteristics of these random fields, in terms of Hölder continuity, are also investigated. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/A6D0767EAD9AAC8341175F4C63AC4955/S0021900200117942a.pdf/div-class-title-a-stability-property-of-stochastic-vibration-div.pdf |
| Ending Page | 457 |
| Page Count | 14 |
| Starting Page | 444 |
| ISSN | 00219002 |
| e-ISSN | 14756072 |
| DOI | 10.1017/s0021900200117942 |
| Journal | Journal of applied probability |
| Issue Number | 02 |
| Volume Number | 44 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2007-06-01 |
| Access Restriction | Open |
| Subject Keyword | Journal of applied probability Mathematical Physics Stochastic Wave Equation Brownian Sheet |
| Content Type | Text |
| Resource Type | Article |
| Subject | Statistics and Probability Statistics, Probability and Uncertainty |
