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Large time asymptotic behavior for the dissipative Timoshenko system and its application

Large time asymptotic behavior for the dissipative Timoshenko system and its application

In this paper, we study large time behavior for the dissipative Timoshenko system in the whole space $\mathbb{R}$, particularly, on the transversal displacement $w$ and the rotation angle $\psi$ of the filament for the beam. Different from decay properties of the energy term derived by Ide-Haramoto-Kawashima (2008), we discover new …