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On the stabilization of Timoshenko systems with memory cand different speeds of wave propagation

Abstract : In this work, we consider a one-dimensional Timoshenko system with different speeds of wave propagation and with only one control given by a viscoelastic term on the angular rotation equation. For a wide class of relaxation functions and for sufficiently regular initial data, we establish a general decay result for the energy of solution. Unlike the past history and internal feedback cases, the second energy is not necessarily decreasing. To overcome this difficulty, a precise estimate of the second energy, in terms of the initial data and the relaxation function, is proved.
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https://hal.inria.fr/hal-01281857
Contributor : Aissa Guesmia <>
Submitted on : Wednesday, March 2, 2016 - 9:16:36 PM
Last modification on : Tuesday, March 2, 2021 - 5:12:05 PM

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Aissa Guesmia, Salim Messaoudi. On the stabilization of Timoshenko systems with memory cand different speeds of wave propagation. Applied Mathematics and Computation, Elsevier, 2013, ⟨10.1016/j.amc.2013.03.105⟩. ⟨hal-01281857⟩

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