On the decay of a porous thermoelasticity type III with constant delay

被引：0
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作者：
Zineb Nid
Abdelfeteh Fareh
Tijani A. Apalara
机构：
[1] University of El Oued Faculty of Exact Sciences,Laboratory of operators theory and PDEs
[2] University of Hafr Al-Batin (UHB),Mathematics Department
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2023年 / 117卷
关键词：
Porous thermoelasticity; Type III thermoelasticity; Well-posedness; Exponential decay; Lack of exponential decay; 35B35; 35B40; 35L15; 35Q74; 74F05; 93D05; 93D23;
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摘要：
This paper focuses on the well-posedness and asymptotic stability of solutions of a delayed porous thermoelastic system of type III, where the delay acts on the heat equation. We investigate the cases of equal and non-equal wave speeds. In the first case, we establish an exponential rate of decay provided that the weight of the delay is strictly less than the weight of the thermal dissipation. In the case of non-equal wave speeds, we obtain a polynomial decay rate.
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