Nonlinear heat conduction equations with memory: Physical meaning and analytical results

DOI10.1063/1.4984583zbMath1371.80012arXiv1605.00576OpenAlexW2345857491MaRDI QIDQ5282860

Pietro Artale Harris, Roberto Garra

Publication date: 17 July 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00576

zbMATH Keywords

fractional calculusMaxwell-Cattaneo lawnonlinear heat conduction equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fractional partial differential equations (35R11) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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