Titlebook: Non-Fourier Heat Conduction; From Phase-Lag Model Alexander I. Zhmakin Book 2023 The Editor(s) (if applicable) and The Author(s), under exc

OVERT

Variational ModelsVariational models for description of the relativistic dissipative transport processes are discussed. The application of the least action principle by Márkus and Gambár and the multifluid model by Andersson et al. are considered.

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黑豹

Introduction,ts—in ultrafast heating, rapid solidification of liquid metals, in heat transfer at nanoscale, in granular and porous materials, at extremely high values of the heat flux, in heat transfer in biological tissues etc.—are listed. The presence of several carriers of energy as one of the reasons for the non-Fourier behaviour is considered.

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Corroborate

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Thermodynamic Modelszation of the entropy density under the constraints of the state variables with the Lagrange multipliers is considered, in particularity, the approaches exploited by Jou & Cimmelli, by Sellitto & Cimmelli, by Kovács & Ván, by Rogolino et al. and extended ballistic–diffusive model are discussed.

兇殘

Fractional Derivative Modelsennes equations, the fractional versions (and non-local modifications) of all phase-lag models and Zingales’s fractional-order model. The interplay between the nonlinearity, time non-locality and space non-locality effects are discussed.

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