On the exponential decay of solutions in dual-phase-lag porous thermoelasticity
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In the last years, a big interest has been developed to understand the time decay of solutions for the porous thermoelasticity with different thermal mechanisms. We here want to consider the problem of the one-dimensional porous thermoelasticity when the heat conduction is given by means of the dual-phase-lag theory. We want to give suitable conditions in order to guarantee that the decay of solutions is controlled by a negative exponential. We also want to provide conditions for the slow decay of the solutions.
CitationFernández, J.; Magaña, A.; Quintanilla, R. On the exponential decay of solutions in dual-phase-lag porous thermoelasticity. A: "11th Chaotic Modeling and Simulation International Conference". Berlín: Springer, 2019, p. 51-63.