Abstract
This work is concerned with a coupled system of nonlinear viscoelastic wave equations that models the interaction of two viscoelastic fields. This system has been extensively studied by many authors for relaxation functions decaying exponentially, polynomially, or with some general decay rate. We prove a new general decay result that improves most of the existing results in the literature related to the system of viscoelastic wave equations. Our result allows wider classes of relaxation functions.
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Acknowledgements
The authors would like to express their profound gratitude to King Fahd University of Petroleum and Minerals (KFUPM) and University of Sharjah for their support.
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Messaoudi, S.A., Hassan, J.H. (2019). On the General Decay for a System of Viscoelastic Wave Equations. In: Dutta, H., Kočinac, L.D.R., Srivastava, H.M. (eds) Current Trends in Mathematical Analysis and Its Interdisciplinary Applications. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-15242-0_10
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DOI: https://doi.org/10.1007/978-3-030-15242-0_10
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