Global attractors for the Signorini problem with pointwise damping
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915692752666624 |
|---|---|
| author | Rivera, Jaime E. Muñoz Naso, Maria Grazia |
| author_facet | Rivera, Jaime E. Muñoz Naso, Maria Grazia |
| contents | The existence of global attractors is investigated for the Signorini problem with pointwise dissipation. It is shown that both the semilinear Signorini problem and the elastic obstacle problem with normal compliance exhibit exponential decay to zero and admit compact global attractors. To establish these results, the original problem is approximated by a hybrid PDE-ODE system, which allows for a rigorous analysis of well-posedness and the long-time behavior of its solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20549 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global attractors for the Signorini problem with pointwise damping Rivera, Jaime E. Muñoz Naso, Maria Grazia Analysis of PDEs 35B41 35B41, 35B40, 35Q74 G.1.8 The existence of global attractors is investigated for the Signorini problem with pointwise dissipation. It is shown that both the semilinear Signorini problem and the elastic obstacle problem with normal compliance exhibit exponential decay to zero and admit compact global attractors. To establish these results, the original problem is approximated by a hybrid PDE-ODE system, which allows for a rigorous analysis of well-posedness and the long-time behavior of its solutions. |
| title | Global attractors for the Signorini problem with pointwise damping |
| topic | Analysis of PDEs 35B41 35B41, 35B40, 35Q74 G.1.8 |
| url | https://arxiv.org/abs/2512.20549 |