On rates of propagation of heat according to Fourier’s theory
Author:
W. A. Day
Journal:
Quart. Appl. Math. 55 (1997), 127-138
MSC:
Primary 80A20; Secondary 01A55, 35K05
DOI:
https://doi.org/10.1090/qam/1433756
MathSciNet review:
MR1433756
Full-text PDF Free Access
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Additional Information
J. Fourier, Théorie Analytique de la Chaleur, Paris, 1822
- Carlo Cattaneo, Sulla conduzione del calore, Atti Sem. Mat. Fis. Univ. Modena 3 (1949), 83–101 (Italian). MR 0032898
- Morton E. Gurtin and A. C. Pipkin, A general theory of heat conduction with finite wave speeds, Arch. Rational Mech. Anal. 31 (1968), no. 2, 113–126. MR 1553521, DOI https://doi.org/10.1007/BF00281373
- Bernard D. Coleman, Mauro Fabrizio, and David R. Owen, On the thermodynamics of second sound in dielectric crystals, Arch. Rational Mech. Anal. 80 (1982), no. 2, 135–158. MR 666429, DOI https://doi.org/10.1007/BF00250739
- Gaetano Fichera, Is the Fourier theory of heat propagation paradoxical?, Rend. Circ. Mat. Palermo (2) 41 (1992), no. 1, 5–28 (English, with Italian summary). MR 1175584, DOI https://doi.org/10.1007/BF02844459
J. Fourier, Théorie Analytique de la Chaleur, Paris, 1822
C. Cattaneo, Sulla conduzione del calore, Atti. del. Semin. Matem. Univ. di Modena 3, 83–101 (1948–49)
M. E. Gurtin and A. C. Pipkin, A general theory of heat conduction with finite wave speeds, Arch. Rational Mech. Anal. 31, 113–126 (1968)
B. D. Coleman, M. Fabrizio, and D. R. Owen, On the thermodynamics of second sound in dielectric crystals, Arch. Rational Mech. Anal. 80, 135–158 (1982)
G. Fichera, Is the Fourier theory of heat propagation paradoxical?, Rend. del Circolo Mat. di Palermo 41, 5–28 (1992)
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Article copyright:
© Copyright 1997
American Mathematical Society
