Stability of a Timoshenko System with Localized Kelvin–Voigt Dissipation

Author:

Aguilera Contreras GabrielORCID,Muñoz Rivera Jaime E.ORCID

Funder

Agencia Nacional de Investigación y Desarrollo

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization

Reference15 articles.

1. Alves, M., Muñoz Rivera, J., Sepúlveda, M., Vera, O.: The asymptotic behavior of the linear transmission problem in viscoelasticity. Mathematische Nachrichten 287(5–6), 483–497 (2013)

2. Borichev, A., Tomilov, Y.: Optimal polynomial decay of functions and operator semigroups. Math. Ann. 347, 455–478 (2009)

3. Chen, S., Liu, K., Liu, Z.: Spectrum and stability for elastic systems with global or local Kelvin–Voigt damping. SIAM J. Appl. Math. 59(2), 651–668 (1998)

4. Engel, K., Nagel, R.: One-parameter semigroups for linear evolution equations. Springer, New York (2000)

5. Gearhart, L.: Spectral theory for contraction semigroups on Hilbert space. Trans. Am. Math. Soc. 236, 385–394 (1978)

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