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arXiv · 2512.13087

Stability analysis for a plate-membrane system without geometric condition

Bienvenido Barraza Martínez·Robert Denk·Jonathan González Ospino·Jairo Hernández Monzón
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Abstract

In this work, we consider a transmission problem describing a thermoelastic plate surrounding a membrane without any mechanical damping. The main results consist of the lack of exponential stability for this problem and the polynomial stability without the usual geometric condition.

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Bienvenido Barraza Martínez, Robert Denk, Jonathan González Ospino, Jairo Hernández Monzón. 2025-12-15. Stability analysis for a plate-membrane system without geometric condition. https://arxiv.org/abs/2512.13087

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