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In this paper, we study the stabilization of a laminated beam system under the action of a new thermal coupling. Motivated by the work of Almeida Júnior et al. in the context of the Timoshenko system, we consider a thermoelastic coupling acting on the shear force. The present work constitutes a generalization of Almeida Júnior's paper because our study model considers an interfacial slip. More precisely,...
In the current study, we analyze the asymptotic behavior of the solutions of one‐dimensional initial boundary value problem associated with the isothermal linear theory of swelling porous elastic media. Our main results are the well‐posedness of the system as well as the exponential stabilization of solution and the discretization of the equations using a particular numerical scheme, which allowed...
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