On the stability of Lord Shulman thermoelastic system with porous damping

2022 · doi:10.21203/rs.3.rs-1938971/v1
preprint OA: closed CC-BY-4.0
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Abstract

In this work, we study the asymptotic behavior of a one-dimensional Lord-Shulman thermoelastic system [1]. We establish the well-posedness and the stability of the system by using the energy method. We present a finite element approximation and we show the discrete energy decay. At the end, numerical simulations are presented to validate the theoretical results.AMS Subject Classification: 435B37, 35L55, 74D05, 93D15.

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License: CC-BY-4.0