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arXiv · 2512.20549

Global attractors for the Signorini problem with pointwise damping

Jaime E. Muñoz Rivera·Maria Grazia Naso
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Abstract

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.

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Jaime E. Muñoz Rivera, Maria Grazia Naso. 2025-12-23. Global attractors for the Signorini problem with pointwise damping. https://doi.org/10.3934/dcdss.2026026

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