On the passage from nonlinear to linearized viscoelastodynamics
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915831445716992 |
|---|---|
| author | Benešová, Barbora Kampschulte, Malte Kružík, Martin |
| author_facet | Benešová, Barbora Kampschulte, Malte Kružík, Martin |
| contents | The equations of linearized viscoelastodynamics in Kelvin-Voigt rheology are rigorously derived from a nonlinear model that satisfies the time-dependent frame indifference in the sense of Antman. Besides showing the convergence of corresponding solutions of both systems, we also prove the convergence of time-discrete solutions on various scales and of continuous solutions of nonlinear problems to linearized ones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_02988 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the passage from nonlinear to linearized viscoelastodynamics Benešová, Barbora Kampschulte, Malte Kružík, Martin Analysis of PDEs The equations of linearized viscoelastodynamics in Kelvin-Voigt rheology are rigorously derived from a nonlinear model that satisfies the time-dependent frame indifference in the sense of Antman. Besides showing the convergence of corresponding solutions of both systems, we also prove the convergence of time-discrete solutions on various scales and of continuous solutions of nonlinear problems to linearized ones. |
| title | On the passage from nonlinear to linearized viscoelastodynamics |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.02988 |