On the General Decay for a System of Viscoelastic Wave Equations

Salim A. Messaoudi () and Jamilu Hashim Hassan ()
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Salim A. Messaoudi: University of Sharjah, Department of Mathematics
Jamilu Hashim Hassan: King Fahd University of Petroleum and Minerals, Department of Mathematics and Statistics

Chapter Chapter 10 in Current Trends in Mathematical Analysis and Its Interdisciplinary Applications, 2019, pp 287-310 from Springer

Abstract: 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.

Keywords: Viscoelastic; System; Relaxation function; General decay (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-15242-0_10

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DOI: 10.1007/978-3-030-15242-0_10

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