Hamza Zougheib, Toufic El Arwadi, Hamed Abderrahmane Bouraoui, Abdelhak Djebabla
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Stabilization of Lord Shulman Porous thermoelastic system from second spectrum viewpoint
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.