<p>The target of this work is to analyze a one-dimensional thermoelastic porous system under the action of Lord–Shulman heat conduction theory. From a second spectrum perspective, the well-posedness is studied using Faedo–Galerkin approximation, then the exponential stability is established without any assumptions on parameters.</p>

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Stabilization of Lord Shulman Porous thermoelastic system from second spectrum viewpoint

  • Hamza Zougheib,
  • Toufic El Arwadi,
  • Hamed Abderrahmane Bouraoui,
  • Abdelhak Djebabla

摘要

The target of this work is to analyze a one-dimensional thermoelastic porous system under the action of Lord–Shulman heat conduction theory. From a second spectrum perspective, the well-posedness is studied using Faedo–Galerkin approximation, then the exponential stability is established without any assumptions on parameters.