The paradox of Fourier heat equation: a theoretical refutation

DOI10.1016/j.ijengsci.2017.06.006zbMath1423.80002OpenAlexW2625153239MaRDI QIDQ1626498

Jean-Louis Auriault

Publication date: 27 November 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2017.06.006

zbMATH Keywords

homogenizationmacroscopic modelsFourier paradox

Mathematics Subject Classification ID

Heat equation (35K05) Foundations of thermodynamics and heat transfer (80A05) Homogenization for problems in thermodynamics and heat transfer (80M40) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (5)

Elementary scales and the lack of Fourier paradox for Fourier fluids ⋮ A modified quasi-boundary value method for an abstract ill-posed biparabolic problem ⋮ Reformulation of elliptic equations for heat transfer and diffusion in solids with space-time algebra ⋮ On terminal value problems for bi-parabolic equations driven by Wiener process and fractional Brownian motions ⋮ On a final value problem for a biparabolic equation with statistical discrete data

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• Cattaneo-Vernotte equation versus Fourier thermoelastic hyperbolic heat equation
• A generalized dynamical theory of thermoelasticity
• On rates of propagation of heat according to Fourier’s theory
• Mechanics of heterogeneous porous media with several spatial scales
• Heat waves

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