Optimal decay for a porous elasticity system with memory

By Baowei Feng, Tijani Abdul-Aziz Apalara. Journal of Mathematical Analysis and Applications, 2019

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Abstract 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.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8ed5ab02d8cfefbd23bb125d4cdd16f1facc9272