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Stability Analysis of Type II Thermo-Porous-Elastic System with Local or Global Damping

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Abstract

In this paper, we consider the stabilization of a one-dimensional system of type II thermoelasticity with voids, which consists of two wave equations for the porous-elastic model and a type II heat equation. Exponential stability is obtained when there are two local damping acting on the last two equations. We also study the polynomial decay of the model with only one global damping on the heat equation of type II.

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Acknowledgements

The authors would like to thank Professor Zhuangyi Liu and Professor Chengzhong Xu for their helpful suggestion.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, People’s Republic of China

    Hualei Zhang

  2. School of Mathematics and Statistics, Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing, 100081, People’s Republic of China

    Qiong Zhang

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  1. Hualei Zhang
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  2. Qiong Zhang
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Correspondence to Qiong Zhang.

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This work was supported by Beijing Municipal Natural Science Foundation (Grant No. 1232018) and National Natural Science Foundation of China (Grant Nos. 12271035, 12131008).

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Zhang, H., Zhang, Q. Stability Analysis of Type II Thermo-Porous-Elastic System with Local or Global Damping. Z. Angew. Math. Phys. 74, 133 (2023). https://doi.org/10.1007/s00033-023-02026-5

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