Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.13525 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917274575699968 |
|---|---|
| author | Ammari, K. Hassine, F. Tebou, L. |
| author_facet | Ammari, K. Hassine, F. Tebou, L. |
| contents | This paper is concerned with the study of regularity and stability properties of two Euler-Bernoulli beam equations with localized singular damping. Under suitable regularity assumptions on the damping coefficient, we establish Gevrey regularity for the semigroup generated by the associated operator. Furthermore, for a broader class of damping mechanisms, including less regular damping, we derive uniform stability result. These findings provide a detailed description of the long-term behavior of the corresponding dynamical systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13525 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Regularity and stability of two coupled Euler-Bernoulli equations with a localized singular structural damping Ammari, K. Hassine, F. Tebou, L. Analysis of PDEs This paper is concerned with the study of regularity and stability properties of two Euler-Bernoulli beam equations with localized singular damping. Under suitable regularity assumptions on the damping coefficient, we establish Gevrey regularity for the semigroup generated by the associated operator. Furthermore, for a broader class of damping mechanisms, including less regular damping, we derive uniform stability result. These findings provide a detailed description of the long-term behavior of the corresponding dynamical systems. |
| title | Regularity and stability of two coupled Euler-Bernoulli equations with a localized singular structural damping |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2602.13525 |