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Large-Time Behaviour of Energy in Elasticity

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Abstract

This paper is concerned with the large-time behaviour of energy for the n-dimensional nonhomogeneous and anisotropic elastic system with a locally reacting boundary subject to small oscillations. Under reasonable assumptions, the polynomial decay for the energy of such a model has been established. Multiplicative techniques and the energy method are used.

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Authors and Affiliations

  1. Department of Mathematics, Henan University, Kaifeng, 475001, P. R. China

    Yuming Qin

  2. National Laboratory for Scientific Computation (LNCC), Rua Getulio Vargas 333, Quitandinha, 25651-070, Petrópolis-RJ, Brazil

    Jaime E. Muñoz Rivera

Authors
  1. Yuming Qin
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  2. Jaime E. Muñoz Rivera
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Qin, Y., Muñoz Rivera, J.E. Large-Time Behaviour of Energy in Elasticity. Journal of Elasticity 66, 171–184 (2002). https://doi.org/10.1023/A:1021273113197

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