Parabolic phase-lag heat conduction theories revisited

DOI10.1016/j.aml.2022.108264zbMath1494.80004OpenAlexW4283066781WikidataQ114210469 ScholiaQ114210469MaRDI QIDQ2161460

Ramón Quintanilla, Alain Miranville

Publication date: 4 August 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108264

zbMATH Keywords

analytic semigroupexponential decaythird order in time equations

Mathematics Subject Classification ID

Heat equation (35K05) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

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• The Moore-Gibson-Thompson equation with memory in the critical case
• Decay and growth estimates for solutions of second-order and third-order differential-operator equations
• A note on stability in dual-phase-lag heat conduction
• On the phase-lag heat equation with spatial dependent lags
• On the regularity and stability of the dual-phase-lag equation
• Spatial behavior in phase-lag heat conduction.
• Time decay in dual-phase-lag thermoelasticity: critical case
• A note on stability in three-phase-lag heat conduction
• Spatial behaviour of solutions of the dual‐phase‐lag heat equation
• Qualitative aspects in dual-phase-lag heat conduction

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