Optimal Decay Rates for Kirchhoff Plates with Intermediate Damping

Authors

  • J. C. V. Bravo Universidade Federal do Paraná
  • H. P. Oquendo Universidade Federal do Paraná
  • J. E. M. Rivera National Laboratory for Scientific Computation, Brazil.

DOI:

https://doi.org/10.5540/tema.2020.021.02.261

Keywords:

Plate equation, polynomial decay, optimal decay, frictional damping, Kelvin-Voigt type damping.

Abstract

In this paper we study the asymptotic behavior of Kirchhoff plates with intermediate damping. The damping considered contemplates the frictional and the Kelvin-Voigt type dampings. We show that the semigroup those equations decays polynomially in time at least with the rate t^{-1/(2-2θ)}, where θ is a parameter in the interval [0,1[. Moreover, we prove that this decay rate is optimal.

Author Biographies

J. C. V. Bravo, Universidade Federal do Paraná

Departamento de matematica

H. P. Oquendo, Universidade Federal do Paraná

Departamento de matematica

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Published

2020-07-22

How to Cite

Bravo, J. C. V., Oquendo, H. P., & Rivera, J. E. M. (2020). Optimal Decay Rates for Kirchhoff Plates with Intermediate Damping. Trends in Computational and Applied Mathematics, 21(2), 261. https://doi.org/10.5540/tema.2020.021.02.261

Issue

Vol. 21 No. 2 (2020)

Section

Original Article

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