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Title: Exponential decay of solutions to initial boundary value problem for anisotropic visco-elastic systems
Authors: Nakamura, Gen
Oliva, Marcos
Keywords: anisotropic viscolastic systemdecay of solutions
Issue Date: 2016
Publisher: EUT Edizioni Università di Trieste
Series/Report no.: 48 (2016)
Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics
The paper concerns about the asymptotic behaviour of so-lutions of initial boundary value problem for a general anisotropic vis-coelastic system in the form of integrodifferential sytem of equations with homogeneous mixed boundary condition. We put a usual assumption on the relaxation tensor and assume that the inhomogeneous term of the equation and boundary data are zero. Then, by using the energy method, we show that the solutions decays exponentially with respect to time as it tends to infinity.
Type: Article
ISSN: 0049-4704
eISSN: 2464-8728
DOI: 10.13137/2464-8728/13149
Appears in Collections:Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.48 (2016)

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