In this work, we investigate a one-dimensional porous-elastic system with thermoelasticity of type III. We establish the well-posedness and the stability of the system for the cases of equal and nonequal speeds of wave propagation. At the end, we use some numerical approximations based on finite difference techniques to validate the theoretical results.

中文翻译：

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III型热弹性多孔弹性系统的渐近稳定性

在这项工作中，我们研究了具有III型热弹性的一维多孔弹性系统。对于波传播速度相等和不相等的情况，我们建立了系统的适定性和稳定性。最后，我们使用基于有限差分技术的一些数值逼近来验证理论结果。