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Exponential decay of solutions to initial boundary value problem for anisotropic visco-elastic systems
Nakamura, Gen
Oliva, Marcos
2016
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e-ISSN
2464-8728
Abstract
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.
Series
48 (2016)
Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics
Publisher
EUT Edizioni Università di Trieste
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