On a damped nonlinear beam equation
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2021
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913700873502720 |
|---|---|
| author | Raske, David |
| author_facet | Raske, David |
| contents | In this note we analyze the large time behavior of solutions to an initial/boundary problem involving a damped nonlinear beam equation. We show that under physically realistic conditions on the nonlinear terms in the equation of motion the energy is a decreasing function of time and solutions converge to a stationary solution with respect to a desirable norm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_00969 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On a damped nonlinear beam equation Raske, David Analysis of PDEs Primary 35L35, Secondary 35Q99, 35L76 In this note we analyze the large time behavior of solutions to an initial/boundary problem involving a damped nonlinear beam equation. We show that under physically realistic conditions on the nonlinear terms in the equation of motion the energy is a decreasing function of time and solutions converge to a stationary solution with respect to a desirable norm. |
| title | On a damped nonlinear beam equation |
| topic | Analysis of PDEs Primary 35L35, Secondary 35Q99, 35L76 |
| url | https://arxiv.org/abs/2103.00969 |