Fractional-order heat conduction models from generalized Boltzmann transport equation

DOI10.1098/RSTA.2019.0280zbMath1462.82062OpenAlexW3021519463WikidataQ94599038 ScholiaQ94599038MaRDI QIDQ4994603

Shu-Nan Li, Bing-Yang Cao

Publication date: 20 June 2021

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7287317

zbMATH Keywords

thermodynamicsheat conductioncontinuity equationstatistical physicsBoltzmann transport equationconstitutive equationmathematical physicsfractional-order derivative

Mathematics Subject Classification ID

Heat equation (35K05) Transport processes in time-dependent statistical mechanics (82C70) Fractional partial differential equations (35R11) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (2)

Anomalies of Lévy-based thermal transport from the Lévy-Fokker-Planck equation ⋮ Numerical solution of the heat conduction problem with memory

Cites Work

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• The fractional Boltzmann transport equation
• Anomalous heat diffusion from fractional Fokker-Planck equation
• Explicit and implicit finite difference schemes for fractional Cattaneo equation
• Hyperbolic subdiffusive impedance
• The generalized Cattaneo equation for the description of anomalous transport processes

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