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<p>This paper focuses on the well-posedness and long-time behavior of the solution of a porous elastic system with type III thermoelasticity, incorporating distributed delay effects in 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 delay is strictly less than the weight of thermal dissipation. In the case of non-equal wave speeds, a polynomial decay rate is obtained.</p>

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Energy estimate of a porous thermoelastic system of type III with thermal distributed delay

  • 期刊论文

  • 发表日期：

    2026年5月5日

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  • Zineb Nid,
  • Abdelfeteh Fareh,
  • Tijani A. Apalara

摘要

This paper focuses on the well-posedness and long-time behavior of the solution of a porous elastic system with type III thermoelasticity, incorporating distributed delay effects in 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 delay is strictly less than the weight of thermal dissipation. In the case of non-equal wave speeds, a polynomial decay rate is obtained.