Well-posedness and decay of the energy of the viscoelastic porous elastic system with dual phase-lag model

Teng Wang and Jun Zhou

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 234, issue C, 262-285

Abstract: This paper investigates the viscoelastic porous elastic system. The dual phase-lag theory is used to model heat transfer. By using the Faedo–Galërkin method, we show the global well-posedness of the system. Moreover, based on integral inequalities and multiplier techniques, we establish the explicit decay of the energy for this system with general assumption on the relaxation function.

Keywords: Viscoelastic porous elastic system; Dual phase-lag; Well-posedness; Decay (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:234:y:2025:i:c:p:262-285

DOI: 10.1016/j.matcom.2025.03.002

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