Fractional anomalous convection diffusion in comb structure with a non-Fick constitutive model

DOI10.1088/1742-5468/aa9dd4zbMath1459.82139OpenAlexW2794284578MaRDI QIDQ4964430

Lin Liu, Fawang Liu, Lian-Cun Zheng, Yan-ping Chen

Publication date: 2 March 2021

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://eprints.qut.edu.au/121068/1/P25_JSM_LZCL_Y18.pdf

Mathematics Subject Classification ID

Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (1)

Flow, heat and mass transfer of three-dimensional fractional Maxwell fluid over a bidirectional stretching plate with fractional Fourier's law and fractional Fick's law

Cites Work

• Unnamed Item
• Comb-like models for transport along spiny dendrites
• Fractional-time Schrödinger equation: fractional dynamics on a comb
• Finite difference approximations for the fractional Fokker-Planck equation
• Diffusion on random comb structure: effective medium approximation
• Exact solution and invariant for fractional Cattaneo anomalous diffusion of cells in two-dimensional comb framework
• Numerical solution of non-linear dual-phase-lag bioheat transfer equation within skin tissues
• The accuracy and stability of an implicit solution method for the fractional diffusion equation
• Fractional (space--time) diffusion equation on comb-like model
• On frame-indifferent formulation of the Maxwell-Cattaneo model of finite-speed heat conduction
• Anomalous convection diffusion and wave coupling transport of cells on comb frame with fractional Cattaneo-Christov flux
• Fractional anomalous diffusion with Cattaneo-Christov flux effects in a comb-like structure
• A variable-order time-fractional derivative model for chloride ions sub-diffusion in concrete structures
• Coupled flow and heat transfer in viscoelastic fluid with Cattaneo-Christov heat flux model
• Reaction front propagation of actin polymerization in a comb-reaction system
• A fully discrete difference scheme for a diffusion-wave system
• Temporal anomalous diffusion and drift of particles in a comb backbone with fractional Cattaneo−Christov flux
• Random walks on the Comb model and its generalizations
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• The generalized Cattaneo equation for the description of anomalous transport processes
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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