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Optimal decay for a porous elasticity system with memory
Journal article   Peer reviewed

Optimal decay for a porous elasticity system with memory

Baowei Feng and Tijani A. Apalara
Journal of mathematical analysis and applications, Vol.470(2), pp.1108-1128
15/02/2019
DOI: https://doi.org/10.1016/j.jmaa.2018.10.052

Abstract

Convexity General decay Porous system Viscoelastic damping
In this paper, we consider a one-dimensional linear porous system with finite memory effective on the equilibrated stress vector. By assuming minimal conditions on the relaxation function, we establish an optimal explicit and energy decay rate for which exponential and polynomial rates are special cases. This result is new and substantially improves earlier results in the literature.

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