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Exponential stabilization of a structure with interfacial slip

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  • Two exponential stabilization results are proved for a vibrating structure subject to an interfacial slip. More precisely, the structure consists of two identical beams of Timoshenko type and clamped together but allowing for a longitudinal movement between the layers. We will stabilize the system through a transverse friction and also through a viscoelastic damping.
    Mathematics Subject Classification: 34B05, 34D05, 34H05.


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