In this paper we study the Timoshenko model over the interval $(0,\ell)$ with pointwise dissipation at $\xi\in (0,\ell)$. We prove that this dissipation produces exponential stability when $\xi\in \mathbb{Q}\ell$ and $\xi\ne \frac{n}{2m+1}$, where $n,m\in \mathbb{N}$ and $n$, and $2m+1$ are co-prime.
About the stability to Timoshenko system with pointwise dissipation
Naso, Maria Grazia
2022-01-01
Abstract
In this paper we study the Timoshenko model over the interval $(0,\ell)$ with pointwise dissipation at $\xi\in (0,\ell)$. We prove that this dissipation produces exponential stability when $\xi\in \mathbb{Q}\ell$ and $\xi\ne \frac{n}{2m+1}$, where $n,m\in \mathbb{N}$ and $n$, and $2m+1$ are co-prime.File in questo prodotto:
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