Non-Fourier heat conduction: The Maxwell-Cattaneo equations

We study the derivation, properties and solution methods of the classical and the hyperbolic heat transfer equations. Some results to approximate the hyperbolic model with the classical model for small values of the thermal relaxation time are given. Finally, two examples of application of the hyperbolic model are studied and discussed.

Country

Spain

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Keywords

Differential equations, Equacions diferencials hiperbòliques, Classificació AMS::35 Partial differential equations::35L Partial differential equations of hyperbolic type, :35 Partial differential equations::35L Partial differential equations of hyperbolic type [Classificació AMS], :Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials [Àrees temàtiques de la UPC], Hyperbolic heat equation, Non-Fourier heat conduction, Maxwell-Cattaneo equations, Parabolic heat equation, Differential equations, Partial, 510, Thermal propagation, Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials, Partial

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